Q: What are the prime factors of the number 58,969,539?

 A: 3, 23, 3517

Why are those the prime factors of the number 58,969,539?

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 58,969,539

58,969,539
Factor Arrows
319,656,513
Factor Arrows
36,552,171
Factor Arrows
32,184,057
Factor Arrows
3728,019
Factor Arrows
3242,673
Factor Arrows
380,891
Factor Arrows
233,517

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, 23, 3517

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 23 x 3,517 = 58,969,539

This can also be written as 36 x 231 x 3,5171 = 58,969,539

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


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