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 the prime factorization of 48?

Back

3 x 2 x 2 x 2 x 2 (or 3 x 2^4) in expanded notation.

Front

What is the prime factorization of 18?

Back

3^2 x 2.

Front

What is the prime factorization of 12?

Back

2^2 x 3.

Front

What is the prime factorization of 25?

Back

5 x 5 (or 5^2).

Front

What is the prime factorization of 100?

Back

2^2 x 5^2.

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.

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.