Q: What are the prime factors of the number 656,020?

 A: 2, 5, 32801

Why are those the prime factors of the number 656,020?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 656,020

656,020
Factor Arrows
2328,010
Factor Arrows
2164,005
Factor Arrows
532,801

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 32801

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 32,801 = 656,020

This can also be written as 22 x 51 x 32,8011 = 656,020

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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