Number Properties Flashcards

1
Q

divisibility

An integer is divisible by 2 if…

A

the integer is even

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2
Q

divisibility

An integer is divisible by 3 if…

A

if the SUM of the integer’s digits is divisible by 3

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3
Q

divisibility

An integer is divisible by 4 if…

A

if the integer is divisible by 2 TWICE or if the LAST TWO digits are divisible by 4

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4
Q

divisibility

An integer is divisible by 5 if…

A

if the integer ends in 0 or 5

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5
Q

divisibility

An integer is divisible by 6 if…

A

the integer is divisible by both 2 and 3

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6
Q

divisibility

An integer is divisible by 8 if…

A

the integer is divisible by 2 THREE TIMES or if the LAST THREE digits are divisible by 8

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7
Q

divisibility

An integer is divisible by 9 if…

A

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

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8
Q

divisibility

An integer is divisible by 10 if…

A

if the integer ends in 0

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9
Q

divisibility

Factor Foundation Rule

A

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

Ex. 2 is a factor of 6 and 6 is a factor of 72, then 2 is a factor of 72

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10
Q

odds and evens

even + even or even - even

A

even

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11
Q

odds and evens

even + odd or even - odd

A

odd

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12
Q

odds and evens

when multiplying integers, if ANY integer is even, the result will be

A

even

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13
Q

odds and evens

when multiplying integers, if ALL of the integers are odd, the result will be

A

odd

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14
Q

odds and evens

even/even

A

even, odd, or non-integer

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15
Q

odds and evens

even/odd

A

even or non-integer

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16
Q

odds and evens

odd/even

A

non-integer

17
Q

odds and evens

odd/odd

A

odd or non-integer

18
Q

divisibility

3^k means

A

How many 3s are there

example question: p is 30! what is the largest integer k when 3^k is a factor of p

19
Q

Perfect squares

Perfect squares have a … number of total factors

A

Odd

20
Q

Perfect squares

Prime factorization a contains only … of primes

A

Even powers

Ex 144 = 223*3