Q: What are the prime factors of the number 60,119,728?

 A: 2, 409, 9187

Why are those the prime factors of the number 60,119,728?

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 60,119,728

60,119,728
Factor Arrows
230,059,864
Factor Arrows
215,029,932
Factor Arrows
27,514,966
Factor Arrows
23,757,483
Factor Arrows
4099,187

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, 409, 9187

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 409 x 9,187 = 60,119,728

This can also be written as 24 x 4091 x 9,1871 = 60,119,728

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


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