What Are the Prime Factors of 56?

What Are the Prime Factors of 56?

The prime factors of 56 are 2 x 2 x 2 x 7. Prime factors of an original number are prime numbers that — when multiplied together — give back the original number. Finding the prime factors of a number is called prime factorization.

A prime number is an integer higher than 1 that is only divisible by 1 and itself. Examples of prime numbers are 2, 3, 5, 7, 11 and 13.

To find prime factors of a number like 56, you can use divisibility tests. Because the number 56 is even, it is divisible by 2. The steps to find the prime factors using the divisibility tests are:

  • 56 = 2 x 28
  • 56 = 2 x 2 x 14
  • 56 = 2 x 2 x 2 x 7

A factorization tree also is very useful for writing the prime factorization of numbers. There are several prime factor calculators available online.