Q: What are the prime factors of the number 718,856?

 A: 2, 59, 1523

Why are those the prime factors of the number 718,856?

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 718,856

718,856
Factor Arrows
2359,428
Factor Arrows
2179,714
Factor Arrows
289,857
Factor Arrows
591,523

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, 59, 1523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 59 x 1,523 = 718,856

This can also be written as 23 x 591 x 1,5231 = 718,856

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


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