Q: What are the prime factors of the number 58,094,528?

 A: 2, 907727

Why are those the prime factors of the number 58,094,528?

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 58,094,528

58,094,528
Factor Arrows
229,047,264
Factor Arrows
214,523,632
Factor Arrows
27,261,816
Factor Arrows
23,630,908
Factor Arrows
21,815,454
Factor Arrows
2907,727

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, 907727

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 907,727 = 58,094,528

This can also be written as 26 x 907,7271 = 58,094,528

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


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