Prime factorization and GCF.

Front

What is prime factorization?

Back

Prime factorization is the process of breaking down a number into its prime factors, which are the prime numbers that multiply together to give the original number.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list all the factors of each number and identify the largest factor that they have in common.

Front

What are factors?

Back

Factors are numbers that can be multiplied together to get another number.

Front

List the factors of 18.

Back

1, 2, 3, 6, 9, 18

Front

List the factors of 24.

Back

1, 2, 3, 4, 6, 8, 12, 24

Front

What is the GCF of 18 and 24?

Back

6

Front

What is a factor tree?

Back

A factor tree is a diagram that shows the prime factorization of a number by breaking it down into its prime factors.

Front

Use a factor tree to find the prime factorization of 48.

Back

48 = 2 x 2 x 2 x 2 x 3 or 3 x 2^4.

Front

What is the prime factorization of 8?

Back

8 = 2 x 2 x 2 or 2^3.