Q: What are the prime factors of the number 808,908?

 A: 2, 3, 67409

Why are those the prime factors of the number 808,908?

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 808,908

808,908
Factor Arrows
2404,454
Factor Arrows
2202,227
Factor Arrows
367,409

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, 67409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 67,409 = 808,908

This can also be written as 22 x 31 x 67,4091 = 808,908

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


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