Q: What are the prime factors of the number 8,811,588?

 A: 2, 3, 167, 4397

Why are those the prime factors of the number 8,811,588?

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 8,811,588

8,811,588
Factor Arrows
24,405,794
Factor Arrows
22,202,897
Factor Arrows
3734,299
Factor Arrows
1674,397

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, 167, 4397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 167 x 4,397 = 8,811,588

This can also be written as 22 x 31 x 1671 x 4,3971 = 8,811,588

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


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