Q: What are the prime factors of the number 56,121,536?

 A: 2, 43, 20393

Why are those the prime factors of the number 56,121,536?

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 56,121,536

56,121,536
Factor Arrows
228,060,768
Factor Arrows
214,030,384
Factor Arrows
27,015,192
Factor Arrows
23,507,596
Factor Arrows
21,753,798
Factor Arrows
2876,899
Factor Arrows
4320,393

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, 43, 20393

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 43 x 20,393 = 56,121,536

This can also be written as 26 x 431 x 20,3931 = 56,121,536

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


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