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

List the first five prime numbers.

Back

2, 3, 5, 7, 11.

Front

How do you find the prime factorization of a number using a number tree?

Back

To find the prime factorization using a number tree, divide the number by prime numbers until all factors are prime, and represent the divisions in a tree structure.

Front

What is the prime factorization of 72?

Back

2 x 2 x 2 x 3 x 3.

Front

What is the prime factorization of 32?

Back

2 x 2 x 2 x 2 x 2.

Front

What is the prime factorization of 18?

Back

3 x 3 x 2.

Front

What is the prime factorization of 63?

Back

3 x 3 x 7.

Front

What is a composite number?

Back

A composite number is a natural number greater than 1 that is not prime, meaning it has more than two positive divisors.

Front

How can you verify the prime factorization of a number?

Back

You can verify the prime factorization by multiplying the prime factors together to see if you get the original number.