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 is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

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

Back

To find the prime factorization using a factor tree, divide the number into two factors, continue factoring until all factors are prime.

Front

What is the prime factorization of 32?

Back

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

Front

What is the prime factorization of 75?

Back

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

Front

What is the prime factorization of 150?

Back

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

Front

What number is never allowed in a factor tree?

Back

1 is never allowed in a factor tree.

Front

What does the prime factorization 2^2 x 3 x 7 represent?

Back

It represents the number 84.

Front

What is a factor tree?

Back

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