Q: What are the prime factors of the number 112,533,632?

 A: 2, 879169

Why are those the prime factors of the number 112,533,632?

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 112,533,632

112,533,632
Factor Arrows
256,266,816
Factor Arrows
228,133,408
Factor Arrows
214,066,704
Factor Arrows
27,033,352
Factor Arrows
23,516,676
Factor Arrows
21,758,338
Factor Arrows
2879,169

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, 879169

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 2 x 879,169 = 112,533,632

This can also be written as 27 x 879,1691 = 112,533,632

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


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