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- GMAT Math Review: Basic

Michael S.

What is an integer?

A whole/natural number

ps. zero is an integer

ps. zero is an integer

E x E =

O x O =

E x O =

O x O =

E x O =

Even, Odd, Even

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E + E =

O + O =

E + O =

O + O =

E + O =

Even, Even, Odd

3,242,509,523 is divisible by which integers 1-10?

Not 2: must be even

Not 3: digits must add up to a multiple of 3

Not 4: Last two digits must add up to a multiple of 4

Not 5: number must end in a 5 or 0

Not 6: must meet 2 and 3 requirements

Guess for 7

Not 8: must meet 2 and 4 for it to be possible

Not 9: digits must add up to a multiple of 9

Not 3: digits must add up to a multiple of 3

Not 4: Last two digits must add up to a multiple of 4

Not 5: number must end in a 5 or 0

Not 6: must meet 2 and 3 requirements

Guess for 7

Not 8: must meet 2 and 4 for it to be possible

Not 9: digits must add up to a multiple of 9

If ab = c is a the factor or multiple of c?

factor

2 is a factor of 10

10 is a multiple of 2

2 is a factor of 10

10 is a multiple of 2

What numbers have an odd number of factors?

Positive perfect squares (everything else has an even number of factors)

What is a prime number?

An integer that only has two factors, 1 and itself

note: 0, 1 are not prime numbers

another note: there is no distinguishable pattern of prime numbers

note: 0, 1 are not prime numbers

another note: there is no distinguishable pattern of prime numbers

What does Greatest Common Factor mean?

The largest divisor of 2 or more integers

What does the Least Common Multiple mean?

The Least Common Multiple is the smallest integer that is divisible by 2 or more numbers

What is a rational number?

Any number that can be expressed in the form of a/b where a & b are both integers.

What is a "perfect square?"

An integer raised to the power of 2

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