Q: What are the prime factors of the number 8,801,055?

 A: 3, 5, 31, 701

Why are those the prime factors of the number 8,801,055?

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 8,801,055

8,801,055
Factor Arrows
32,933,685
Factor Arrows
3977,895
Factor Arrows
3325,965
Factor Arrows
3108,655
Factor Arrows
521,731
Factor Arrows
31701

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, 5, 31, 701

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 31 x 701 = 8,801,055

This can also be written as 34 x 51 x 311 x 7011 = 8,801,055

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


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