prime factorization

Front

What is prime factorization?

Back

Prime factorization is the process of expressing a number as the product of its prime factors.

Front

What are prime numbers?

Back

Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

Front

What is a factor tree?

Back

A factor tree is a diagram used to break down a number into its prime factors.

Front

Find the prime factorization of 18.

Back

2 x 3 x 3 (or 2 x 3^2)

Front

What is the Greatest Common Factor (GCF)?

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 the prime factors of each number and multiply the lowest powers of common prime factors.

Front

Find the GCF of 12 and 16.

Back

The GCF is 4.

Front

What is the prime factorization of 45?

Back

3 x 3 x 5 (or 3^2 x 5)

Front

What is the prime factorization of 100?

Back

2 x 2 x 5 x 5 (or 2^2 x 5^2)

Front

What is the relationship between GCF and prime factorization?

Back

The GCF can be found using the prime factorization of the numbers by multiplying the lowest powers of common prime factors.