Q: What are the prime factors of the number 56,662,875?

 A: 3, 5, 103, 163

Why are those the prime factors of the number 56,662,875?

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 56,662,875

56,662,875
Factor Arrows
318,887,625
Factor Arrows
36,295,875
Factor Arrows
32,098,625
Factor Arrows
5419,725
Factor Arrows
583,945
Factor Arrows
516,789
Factor Arrows
103163

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, 103, 163

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5 x 5 x 103 x 163 = 56,662,875

This can also be written as 33 x 53 x 1031 x 1631 = 56,662,875

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


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