Q: What are the prime factors of the number 56,860,587?

 A: 3, 7, 89, 10141

Why are those the prime factors of the number 56,860,587?

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 56,860,587

56,860,587
Factor Arrows
318,953,529
Factor Arrows
36,317,843
Factor Arrows
7902,549
Factor Arrows
8910,141

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, 7, 89, 10141

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 89 x 10,141 = 56,860,587

This can also be written as 32 x 71 x 891 x 10,1411 = 56,860,587

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


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