Q: What are the prime factors of the number 59,053,908?

 A: 2, 3, 4921159

Why are those the prime factors of the number 59,053,908?

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 59,053,908

59,053,908
Factor Arrows
229,526,954
Factor Arrows
214,763,477
Factor Arrows
34,921,159

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, 4921159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 4,921,159 = 59,053,908

This can also be written as 22 x 31 x 4,921,1591 = 59,053,908

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


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