Q: What are the prime factors of the number 56,202,462?

 A: 2, 3, 43, 72613

Why are those the prime factors of the number 56,202,462?

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 56,202,462

56,202,462
Factor Arrows
228,101,231
Factor Arrows
39,367,077
Factor Arrows
33,122,359
Factor Arrows
4372,613

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:

2, 3, 43, 72613

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 43 x 72,613 = 56,202,462

This can also be written as 21 x 32 x 431 x 72,6131 = 56,202,462

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


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