Q: What are the prime factors of the number 90,613,731?

 A: 3, 13, 41, 61, 929

Why are those the prime factors of the number 90,613,731?

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 90,613,731

90,613,731
Factor Arrows
330,204,577
Factor Arrows
132,323,429
Factor Arrows
4156,669
Factor Arrows
61929

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, 13, 41, 61, 929

We can check our work by multiplying all of the prime factors together: 3 x 13 x 41 x 61 x 929 = 90,613,731

This can also be written as 31 x 131 x 411 x 611 x 9291 = 90,613,731

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


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