Q: What are the prime factors of the number 656,514?

 A: 2, 3, 36473

Why are those the prime factors of the number 656,514?

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 656,514

656,514
Factor Arrows
2328,257
Factor Arrows
3109,419
Factor Arrows
336,473

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, 3, 36473

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 36,473 = 656,514

This can also be written as 21 x 32 x 36,4731 = 656,514

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


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