Q: What are the prime factors of the number 60,025,312?

 A: 2, 41, 45751

Why are those the prime factors of the number 60,025,312?

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 60,025,312

60,025,312
Factor Arrows
230,012,656
Factor Arrows
215,006,328
Factor Arrows
27,503,164
Factor Arrows
23,751,582
Factor Arrows
21,875,791
Factor Arrows
4145,751

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, 41, 45751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 41 x 45,751 = 60,025,312

This can also be written as 25 x 411 x 45,7511 = 60,025,312

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


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