Q: What are the prime factors of the number 865,485?

 A: 3, 5, 2137

Why are those the prime factors of the number 865,485?

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 865,485

865,485
Factor Arrows
3288,495
Factor Arrows
396,165
Factor Arrows
332,055
Factor Arrows
310,685
Factor Arrows
52,137

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:

3, 5, 2137

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 2,137 = 865,485

This can also be written as 34 x 51 x 2,1371 = 865,485

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


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