Q: What are the prime factors of the number 864,175?

 A: 5, 13, 2659

Why are those the prime factors of the number 864,175?

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 864,175

864,175
Factor Arrows
5172,835
Factor Arrows
534,567
Factor Arrows
132,659

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:

5, 13, 2659

We can check our work by multiplying all of the prime factors together: 5 x 5 x 13 x 2,659 = 864,175

This can also be written as 52 x 131 x 2,6591 = 864,175

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


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