Q: What are the prime factors of the number 92,798,028?

 A: 2, 3, 29, 29629

Why are those the prime factors of the number 92,798,028?

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 92,798,028

92,798,028
Factor Arrows
246,399,014
Factor Arrows
223,199,507
Factor Arrows
37,733,169
Factor Arrows
32,577,723
Factor Arrows
3859,241
Factor Arrows
2929,629

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, 3, 29, 29629

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 29 x 29,629 = 92,798,028

This can also be written as 22 x 33 x 291 x 29,6291 = 92,798,028

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


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