Q: What are the prime factors of the number 58,107,880?

 A: 2, 5, 29, 50093

Why are those the prime factors of the number 58,107,880?

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 58,107,880

58,107,880
Factor Arrows
229,053,940
Factor Arrows
214,526,970
Factor Arrows
27,263,485
Factor Arrows
51,452,697
Factor Arrows
2950,093

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, 5, 29, 50093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 29 x 50,093 = 58,107,880

This can also be written as 23 x 51 x 291 x 50,0931 = 58,107,880

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


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