Q: What are the prime factors of the number 59,034,879?

 A: 3, 97, 22541

Why are those the prime factors of the number 59,034,879?

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 59,034,879

59,034,879
Factor Arrows
319,678,293
Factor Arrows
36,559,431
Factor Arrows
32,186,477
Factor Arrows
9722,541

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:

3, 97, 22541

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 97 x 22,541 = 59,034,879

This can also be written as 33 x 971 x 22,5411 = 59,034,879

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


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