Q: What are the prime factors of the number 56,517,273?

 A: 3, 83, 75659

Why are those the prime factors of the number 56,517,273?

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 56,517,273

56,517,273
Factor Arrows
318,839,091
Factor Arrows
36,279,697
Factor Arrows
8375,659

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:

3, 83, 75659

We can check our work by multiplying all of the prime factors together: 3 x 3 x 83 x 75,659 = 56,517,273

This can also be written as 32 x 831 x 75,6591 = 56,517,273

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


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