# GMAT QUANT 3

## 32 terms

### (d) Factor Foundation Rule

If a is a factor of b, and b is a factor of c, then a is a factor of c. Any integer is divisible by all its factors and the factors of its factors.

### (d) Prime Box

A diagram that shows all prime factors for an integer (multiples of a prime factor are displayed)

### (d) GCF

Greatest Common Factor. The largest divisor of two or more integers

### (d) Greatest Common Factor

The largest divisor of two or more integers

### (d) LCM

Least Common Multiple. The smallest multiple of two or more integers

### (d) Least Common Multiple

The smallest multiple of two or more integers

### List the components of a fraction

Numerator/Denominator (or) Dividend/Divisor

### Describe how to find the GCF

Create a Venn Diagram. The product of the shared factors is the GCF.

### Describe how to find the LCM

Create a Venn Diagram. The product of all the factors is the LCM.

### If two integers have no factors in common, what are their GCF and LCM?

GCF = 1, LCM = Product of the integers

### (d) Remainder

The number that is left over when you try to divide an integer by an integer that is not a factor. N=xy+R, where x is a factor of N, y is a number that is not a factor of N, and R is the remainder

Even

Odd

Even

Even

Odd

Even

Even

Odd

### If you multiply together several even integers, the result will be divisible by... Why?

Higher and higher powers of 2. This is because each integer will have 2 as a factor.

### The result of multiplying several even integers will be divisible by at least

2ⁿ where n = number of even integers

### Even/Even =

Even, Odd, Non-integer

### Even/Odd =

Even, Non-Integer

Non-Integer

Odd, Non-Integer

Even

Integer

### Prime + Prime = Even Then...Why?

Neither prime is 2 or both primes are 2. 2 is the only even prime. Even + Odd = Odd

### Prime + Prime = Odd Then... Why?

One of the primes is 2. 2 is the only even prime. Even + Odd = Odd

### What should you do if there are various odd/even cases possible for a question?

Make a chart with all possible situations to eliminate those that won't work.

### (d) Absolute Value

The distance a number lies from 0 on a line graph

Absolute Value