Prime Factorization–A factor tree is one method of determining the prime factorization of a number. The method is based on writing a number as a product of two factors, each greater than 1. Each of these factors is then written as a product of two factors, each greater than 1. The process continues until each factor at the end of a “branch” is a prime number. Every whole number greater than 1 has a unique prime factorization. The prime factorization of 40 is 2 x 2 x 2 x 5, regardless of the pair of factors used in the first step.

40

4 10

2 2 2 5

Least Common Multiple—A least common multiple is the least nonzero number that is a multiple of two or more numbers. One way to find the least common multiple is to make a list of the first eight nonzero multiples of each number. Then, circle the common multiples and finally find the least common multiple.

For example:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64

LCM= 24