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 exactly two distinct positive divisors: 1 and itself.

Front

What is a composite number?

Back

A composite number is a natural number greater than 1 that has more than two positive divisors.

Front

What is the prime factorization of 105?

Back

3 x 5 x 7

Front

What is the prime factorization of 32?

Back

2^5

Front

What is the prime factorization of 60?

Back

2^2 ⋅ 3 ⋅ 5

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 smallest prime number?

Back

The smallest prime number is 2.

Front

Can a prime number be even?

Back

Yes, the only even prime number is 2.

Front

What is the prime factorization of 18?

Back

2 x 3^2