Q: What are the prime factors of the number 88,430,425?

 A: 5, 29, 283, 431

Why are those the prime factors of the number 88,430,425?

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 88,430,425

88,430,425
Factor Arrows
517,686,085
Factor Arrows
53,537,217
Factor Arrows
29121,973
Factor Arrows
283431

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:

5, 29, 283, 431

We can check our work by multiplying all of the prime factors together: 5 x 5 x 29 x 283 x 431 = 88,430,425

This can also be written as 52 x 291 x 2831 x 4311 = 88,430,425

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


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