Prime Factorization

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 are prime numbers?

Back

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

Front

Find the prime factorization of 18.

Back

2 • 3 • 3

Front

What is the prime factorization of 36?

Back

2 x 2 x 3 x 3 or 2^2 • 3^2

Front

Find the prime factorization of 60.

Back

2 • 2 • 3 • 5

Front

What is the prime factorization of 26?

Back

2 x 13

Front

How do you find the prime factorization of a number?

Back

To find the prime factorization, divide the number by the smallest prime number until you reach 1, recording the prime factors.

Front

What is the prime factorization of 12?

Back

2 • 2 • 3

Front

Find the prime factorization of 45.

Back

3 • 3 • 5 or 3^2 • 5

Front

What is the prime factorization of 100?

Back

2 • 2 • 5 • 5 or 2^2 • 5^2