Chapter 7: GMAT Math, Basic Principles

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Integers

-Numbers we think of when we think of numbers -Can be positive or negative -NOT fractions -incl zero

What numbers are not prime?

0 & 1

Prime numbers 0-100

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

divisible by 5

Ends in 0 or 5

Two

Least & only even prime number

Positive * Negative =

Negative

Positive * Positive=

Positive

What is another name for the ones digit?

Units digit

every integer > 1 is...

both its own greatest factor and least positive integer

divisible by 6

divisible by both 2 & 3

even * even =

even

even + even =

even

even*odd=

even

odd+odd =

even

Least common multiple

if x is is divisible by two integers, x is a common multiple of them. this is the lowest of these

consecutive numbers

integers listed in order of increasing value w/o any integers missing in between

when 0 is divided by something

it equals 0

divisible by 4

last 2 digits divisible by 4

distinct numbers

numbers that cannot be equal

even + odd =

odd

odd * odd =

odd

Divisible by 2

ones divisible by 2

Zero

only number that is neither + or -, even #.

Negative * Negative =

positive

divisible by 3

sum of digits divisible by 3

Absolute Value

the distance between x & 0

what is it called when something is divided by 0?

undefined (won't see this on test! is 0 in denim, you've done something wrong!)

prime factors

use a factor tree. ALL positive integers > 1 have unique prime factorizations (frequently tested).

greatest common factor

when 2 integers are both divisibly by x then x is a common factor. this is the greatest to these. factor to find answer.

Divisible

when y/x leaves no remainder

factor

x is a ________ of y if y is divisible by x


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