Number Properties Flashcards

1
Q

An integer is divisible by 3 if

A

the sum of the integer’s digits is divisible by 3

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2
Q

An integer is divisible by 4 if

A

the integer is divisible by 2 twice or the last two digits are divisible by 4

23,456 is because 56 is divisible by 4

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3
Q

An integer is divisible by 6 if

A

It is divisible by both 2 and 3 48 by 3 since (4 + 8=12)

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4
Q

An integer is divisible by 8 if

A

it is divisible by 2 three times or if the last three digits are divisible by 8

23,456 since 456 is divisible by 8

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5
Q

An integer is divisible by 9 if

A

the sum of the integer’s digits is divisible by 9

4,185

4+1+8+5=18

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6
Q

What re the first ten prime numbers?

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

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7
Q

If a is a factor of b, and b is a factor of c, is a a factor of c?

A

Yes. Any integer is divisible by all of its factors-and it is also divisible by all of the factors of its factors.

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8
Q

Even + Even =

A

Even

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9
Q

Odd + Odd =

A

Even

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10
Q

Even + Odd =

A

Odd

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11
Q

Even x Even =

A

Even

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12
Q

Even x Odd =

A

Even

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13
Q

Odd x Odd =

A

Odd

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14
Q

Even x Odd x Odd =

A

Even

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15
Q

If an integer has an odd number of factors

A

it’s a perfect square

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16
Q

3k means

A

how many 3s are there?

p/3k = int

how many 3s are factors of p

17
Q

x + y > 0

A

At least one of the numbers is positive

18
Q

x + y < 0

A

At least one of the numbers is negative.