Number Properties Flashcards

1
Q

Even - even

A

Even

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2
Q

Even - odd

A

Odd

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3
Q

Odd - odd

A

Even

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4
Q

Odd - even

A

Odd

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5
Q

Even + even

A

Even

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6
Q

Even + odd

A

Odd

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7
Q

Odd + even

A

Odd

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8
Q

Odd + odd

A

Even

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9
Q

Even x even

A

Even

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10
Q

Even x odd

A

Even

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11
Q

Odd x odd

A

Odd

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12
Q

Even/even

A

Even or odd

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13
Q

Even / odd

A

Even

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14
Q

Odd / odd

A

Odd

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15
Q

Prime numbers < 100

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

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16
Q

Formula for a x b

A

LCM (a,b) x GCF (a,b)

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17
Q

Divisibility rule for 3

A

Sum of all digits is divisible by 3

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18
Q

Divisibility rule for 4

A

Last 2 digits are divisible by 4 or is a multiple of 100

19
Q

Divisibility rule for 6

A

Even and sum of digits is a multiple of 3

20
Q

Divisibility rule for 8

A

Even and last 3 digits are divisible by 8, or multiples of 1000

21
Q

Divisibility rule for 9

A

Sum of all digits is divisible by 9

22
Q

Divisibility rule for 11

A

Sum of odd numbered place digits - sum of even place digits is divisible by 11

23
Q

Divisibility rule for 12

A

Divisible by 3 (sum of all digits divisible by 3) and 4 (last 2 digits divisible by 4 or multiple of 100)

24
Q

X(x+1)(x-1) is divisible by

25
Product of x consecutive integers is divisible by
X!
26
N^5 - 5n^5 + 4n
5 consecutive integers from (n-2) to (n+2), divisible by 120!
27
If n is odd, (n-1)(n+1) is divisible by
8
28
Formula for division and remainders
X/y = Q + r/y
29
Trailing zeros
5x2 pairs of prime factorization
30
Units digit of any factorial > or equal to 5!
0 (5x2 pair)
31
Leading zeros if 0
0
32
Leading zeros of 10
1
33
Leading zeros if 100
2
34
Formula to find leading zeros
If x is an integer with k digits, 1/x will have k-1 leading zeros Unless x is perfect power of 10, then k-2 leading zeros
35
Leading zero definition
Zeros to the right of decimal but before first nonzero number
36
How to know if a decimal terminates
Prime factorization of fraction denominator contains only 2s, 5s, or both
37
Unit digit pattern of consecutive powers of 2
2,4,8,6
38
Unit digit pattern of consecutive powers of 3
3,9,7,1
39
Unit digit pattern of consecutive powers of 4
4,6
40
Unit digit pattern of powers of 5
All end in 5
41
Unit digit pattern of powers of 6
All end in 6
42
Unit digit pattern of consecutive powers of 7
7,9,3,1
43
Unit digit pattern of consecutive powers of 8
8,4,2,6
44
Unit digit pattern of consecutive powers of 9
9,1