Q: What are the prime factors of the number 60,666,976?

 A: 2, 37, 51239

Why are those the prime factors of the number 60,666,976?

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 60,666,976

60,666,976
Factor Arrows
230,333,488
Factor Arrows
215,166,744
Factor Arrows
27,583,372
Factor Arrows
23,791,686
Factor Arrows
21,895,843
Factor Arrows
3751,239

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, 37, 51239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 37 x 51,239 = 60,666,976

This can also be written as 25 x 371 x 51,2391 = 60,666,976

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


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