Q: What are the prime factors of the number 52,231,536?

 A: 2, 3, 7, 51817

Why are those the prime factors of the number 52,231,536?

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 52,231,536

52,231,536
Factor Arrows
226,115,768
Factor Arrows
213,057,884
Factor Arrows
26,528,942
Factor Arrows
23,264,471
Factor Arrows
31,088,157
Factor Arrows
3362,719
Factor Arrows
751,817

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, 7, 51817

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 51,817 = 52,231,536

This can also be written as 24 x 32 x 71 x 51,8171 = 52,231,536

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


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