Q: What are the prime factors of the number 656,684?

 A: 2, 7, 47, 499

Why are those the prime factors of the number 656,684?

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 656,684

656,684
Factor Arrows
2328,342
Factor Arrows
2164,171
Factor Arrows
723,453
Factor Arrows
47499

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, 7, 47, 499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 47 x 499 = 656,684

This can also be written as 22 x 71 x 471 x 4991 = 656,684

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


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