Q: What are the prime factors of the number 8,855,808?

 A: 2, 3, 13, 887

Why are those the prime factors of the number 8,855,808?

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 8,855,808

8,855,808
Factor Arrows
24,427,904
Factor Arrows
22,213,952
Factor Arrows
21,106,976
Factor Arrows
2553,488
Factor Arrows
2276,744
Factor Arrows
2138,372
Factor Arrows
269,186
Factor Arrows
234,593
Factor Arrows
311,531
Factor Arrows
13887

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, 13, 887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 887 = 8,855,808

This can also be written as 28 x 31 x 131 x 8871 = 8,855,808

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


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