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Geek Club: Extension > Maths Ext 1. Divisibility rules > Flashcards

Maths Ext 1. Divisibility rules Flashcards

1
Q

How do you check if a number is divisible by 2?

A
  1. Look at the last (units) digit of the number.
  2. If it is even (i.e. a 0, 2, 4, 6 or 8), then the whole number is divisible by 2
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2
Q

How do you check if a number is divisible by 3?

A
  1. Add up all the digits
  2. Check if this answer is divisible by 3. If it is, so is the original number
  3. (If you’re not sure, add up all the digits of the second number and check again to see if the result is divisible by 3)
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3
Q

How do you check if a number is divisible by 4?

A
  1. Look at the last two digits (tens and units)
  2. If this is divisible by 4, then so is the original number
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4
Q

How do you check if a number is divisible by 5?

A
  1. Look at the last digit
  2. If this is a 0 or a 5, then the whole number is divisible by 5
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5
Q

How do you check if a number is divisible by 6?

A

For a number to be divisible by 6, it needs to pass the rules for divisibility by 2 and divisibility by 3:

  1. Check if the number is divisible by 2
  2. Check if the number is divisible by 3
  3. If these both work, then the number is divisible by 6
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6
Q

How do you check if a number is divisible by 7?

A
  1. Split the number by removing the last digit
  2. Double the last digit. Let’s call the answer A.
  3. Take A away from whatever is left of your original number after you removed the last digit
  4. If the answer is divisible by 7, then so is the original number
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7
Q

How do you check if a number is divisible by 8?

A
  1. Look at the hundreds digit
  2. If the hundred digit is even: the last two digits must be divisible by 8.
  3. If the hundreds digit is odd: add 4 to the last two digits. This must be divisible by 8.
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8
Q

How do you check if a number is divisible by 9?

A
  1. Add up all the digits
  2. Check if this answer is divisible by 9. If it is, so is the original number
  3. (If you’re not sure, add up all the digits of the second number and check again to see if the result is divisible by 9)
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9
Q

How do you check if a number is divisible by 10?

A
  1. Look at the last digit
  2. If it is a 0, then the original number is divisible by 10
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10
Q

How do you check if a number is divisible by 11?

A
  1. Add and subtract the digits of the number in an alternating pattern
  2. If the answer is divisible by 11, so is the original number
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11
Q

How do you check if a number is divisible by 12?

A

For a number to be divisible by 12, it needs to pass the rules for divisibility by 3 and divisibility by 4:

  1. Check if the number is divisible by 3
  2. Check if the number is divisible by 4
  3. If these both work, then the number is divisible by 12
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12
Q

Is this number divisible by 3?

32,593

A

No

3 + 2 + 5 + 9 + 3 = 22

22 is not divisible by 3

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13
Q

Is this number divisible by 5?

846,202

A

No

The last digit is not a 0 or 5

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14
Q

Is this number divisible by 7?

171

A

No

Double the last digit = 2x1 = 2

Take it away from the rest of the number: 17 - 2 = 15

15 is not divisible by 7

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15
Q

Is this number divisible by 9?

57,245

A

No

7 + 5 + 2 + 4 + 5 = 23

23 is not divisible by 9

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16
Q

Is this number divisible by 8?

71,587

A

No

The hundreds digit is odd, so we add 4 to the last two digits

87 + 4 = 91

91 is not divisible by 8

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17
Q

Is this number divisible by 4?

248,351

A

No

The last two digits are 51

51 is not divisible by 4

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18
Q

Is this number divisible by 10?

768,139,610

A

Yes

It ends in a 0

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19
Q

Is this number divisible by 11?

90,375

A

No

9 - 0 + 3 - 7 + 5 = 10

10 is not divisible by 11

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20
Q

Is this number divisible by 8?

13,496

A

Yes

The hundreds digit is even, so we look at the last two digits

96 is divisible by 8

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21
Q

Is this number divisible by 8?

1,840,336

A

Yes

The hundreds digit is odd, so we add 4 to the last two digits

36 + 4 = 40

40 is divisible by 8

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22
Q

Is this number divisible by 5?

846,205

A

Yes

The last digit is a 5

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23
Q

Is this number divisible by 9?

1,860,336

A

Yes

1 + 8 + 6 + 0 + 3 + 3 + 6 = 27

27 is divisible by 9

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24
Q

Is this number divisible by 11?

1,408,412

A

No

1 - 4 + 0 - 8 + 4 - 1 + 2 = -6

-6 is not divisible by 11

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25
Q

Is this number divisible by 4?

36,984

A

Yes

The last two digits are 84

84 is divisible by 4

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26
Q

Is this number divisible by 5?

1,743,560

A

Yes

The last digit is a 0

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27
Q

Is this number divisible by 9?

237,924

A

Yes

2 + 3 + 7 + 9 + 2 + 4 = 27

27 is divisible by 9

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28
Q

Is this number divisible by 9?

3,503,617

A

No

3 + 5 + 0 + 3 + 6 + 1 + 7 = 25

25 is not divisible by 9

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29
Q

Is this number divisible by 3?

5,905

A

No

5 + 9 + 0 + 5 = 19

19 is not divisible by 3

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30
Q

Is this number divisible by 8?

725,911

A

No

The hundreds digit is odd, so we add 4 to the last two digits

11 + 4 = 15

15 is not divisible by 8

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31
Q

Is this number divisible by 11?

88,880

A

Yes

8 - 8 + 8 - 8 + 0 = 0

0 is divisible by 11

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32
Q

Is this number divisible by 6?

801,302

A

No

Even though it is divisible by 2 (even)

It is not divisible by 3

(8+0+1+3+0+2=14 which is not divisible by 3)

33
Q

Is this number divisible by 9?

8,924

A

No

8 + 9 + 2 + 4 = 23

23 is not divisible by 9

34
Q

Is this number divisible by 7?

703

A

No

Double the last digit = 2x3 = 6

Take it away from the rest of the number: 70 - 6 = 64

64 is not divisible by 7

35
Q

Is this number divisible by 6?

72,804

A

Yes

It is divisible by 2 (even)

AND

It is divisible by 3

(7+2+8+0+4=21 which is divisible by 3)

36
Q

Is this number divisible by 10?

2,714

A

No

It doesn’t end in a 0

37
Q

Is this number divisible by 12?

111,111

A

No

Even though it is divisible by 3 (1+1+1+1+1+1=6)

It is not divisible by 4:

last two digits = 11, which is not divisble by 4

38
Q

Is this number divisible by 4?

3,374

A

No

The last two digits are 74

74 is not divisible by 4

39
Q

Is this number divisible by 3?

4593

A

Yes

4 + 5 + 9 + 3 = 21

21 is divisible by 3

40
Q

Is this number divisible by 12?

46,444

A

No

It is not divisible by 3:

4+6+4+4+4=22, which is not divisible by 3

41
Q

Is this number divisible by 2?

1,803,456

A

Yes, it ends in an even number.

42
Q

Is this number divisible by 6?

31,496

A

No

Even though it is divisible by 2 (even)

It is not divisible by 3

(3+1+4+9+6=23 which is not divisible by 3)

43
Q

Is this number divisible by 12?

46,944

A

Yes

It is divisible by 3: 4+6+9+4+4=27, which is divisible by 3

It is divisible by 4: last two digits = 44, which is divisble by 4

44
Q

Is this number divisible by 8?

806

A

No

The hundreds digit is even, so we look at the last two digits

6 is not divisible by 8

45
Q

Is this number divisible by 10?

88,888

A

No

It doesn’t end in a 0

46
Q

Is this number divisible by 6?

666

A

Yes

It is divisible by 2 (even)

AND

It is divisible by 3

(6+6+6=18 which is divisible by 3)

47
Q

Is this number divisible by 11?

142,714

A

Yes

1 - 4 + 2 - 7 + 1 - 4 = -11

-11 is divisible by 11

48
Q

Is this number divisible by 2?

693

A

No, it doesn’t end in an even number.

49
Q

Is this number divisible by 6?

1,801,307

A

No

It is not divisible by 2 (odd)

50
Q

Is this number divisible by 7?

450

A

No

Double the last digit = 2x0 = 0

Take it away from the rest of the number: 45 - 0 = 45

45 is not divisible by 7

51
Q

Is this number divisible by 10?

57,240

A

Yes

It ends in a 0

52
Q

Is this number divisible by 11?

142,712

A

No

1 - 4 + 2 - 7 + 1 - 2 = -9

-9 is not divisible by 11

53
Q

Is this number divisible by 5?

34,287

A

No

The last digit is not a 0 or 5

54
Q

Is this number divisible by 12?

924

A

Yes

It is divisible by 3: 9+2+4=15, which is divisible by 3

It is divisible by 4: last two digits = 24, which is divisble by 4

55
Q

Is this number divisible by 9?

3,503,610

A

Yes

3 + 5 + 0 + 3 + 6 + 1 + 0 = 18

18 is divisible by 9

56
Q

Is this number divisible by 5?

97,435

A

Yes

The last digit is a 5

57
Q

Is this number divisible by 11?

679,459

A

Yes

6 - 7 + 9 - 4 + 5 - 9 = 0

0 is divisible by 11

58
Q

Is this number divisible by 10?

768,139,619

A

No

It doesn’t end in a 0

59
Q

Is this number divisible by 3?

41,502

A

Yes

4 + 1 + 5 + 0 + 2 = 12

12 is divisible by 3

60
Q

Is this number divisible by 2?

3,459,853

A

No, it doesn’t end in an even number.

61
Q

Is this number divisible by 3?

1,652,004

A

Yes

1 + 6 + 5 + 2 + 0 + 0 + 4 = 18

18 is divisible by 3

62
Q

Is this number divisible by 4?

1,652,004

A

Yes

The last two digits are 04

4 is divisible by 4

63
Q

Is this number divisible by 8?

725,912

A

Yes

The hundreds digit is odd, so we add 4 to the last two digits

12 + 4 = 16

16 is divisible by 8

64
Q

Is this number divisible by 4?

1,743,569

A

No

The last two digits are 69

69 is not divisible by 4

65
Q

Is this number divisible by 7?

672

A

Yes

Double the last digit = 2x2 = 4

Take it away from the rest of the number: 67 - 4 = 63

63 is divisible by 7

66
Q

Is this number divisible by 10?

1,949,400

A

Yes

It ends in a 0

67
Q

Is this number divisible by 6?

1,801,302

A

Yes

It is divisible by 2 (even)

AND

It is divisible by 3

(1+8+0+1+3+0+2=15 which is divisible by 3)

68
Q

Is this number divisible by 2?

31,428

A

Yes, it ends in an even number.

69
Q

Is this number divisible by 7?

833

A

Yes

Double the last digit = 2x3 = 6

Take it away from the rest of the number: 83 - 6 = 77

77 is divisible by 7

70
Q

Is this number divisible by 12?

2,892

A

Yes

It is divisible by 3: 2+8+9+2=21, which is divisible by 3

It is divisible by 4: last two digits = 92, which is divisble by 4

71
Q

Is this number divisible by 8?

55,628

A

No

The hundreds digit is even, so we look at the last two digits

28 is not divisible by 8

72
Q

Is this number divisible by 2?

4592

A

Yes, it ends in an even number.

73
Q

Is this number divisible by 12?

5,678

A

No

It is not divisible by 3:

5+6+7+8=26, which is not divisible by 3

74
Q

Is this number divisible by 4?

1,743,560

A

Yes

The last two digits are 60

60 is divisible by 4

75
Q

Is this number divisible by 3?

674

A

No

6 + 7 + 4 = 17

17 is not divisible by 3

76
Q

Is this number divisible by 7?

364

A

Yes

Double the last digit = 2x4 = 8

Take it away from the rest of the number: 36 - 8 = 28

28 is divisible by 7

77
Q

Is this number divisible by 8?

1680

A

Yes

The hundreds digit is even, so we look at the last two digits

80 is divisible by 8

78
Q

Is this number divisible by 2?

15,867

A

No, it doesn’t end in an even number.

79
Q

Is this number divisible by 5?

82,174

A

No

The last digit is not a 0 or 5

Geek Club: Extension (2 decks)

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