Q: What are the prime factors of the number 808,208?

 A: 2, 50513

Why are those the prime factors of the number 808,208?

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 808,208

808,208
Factor Arrows
2404,104
Factor Arrows
2202,052
Factor Arrows
2101,026
Factor Arrows
250,513

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, 50513

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 50,513 = 808,208

This can also be written as 24 x 50,5131 = 808,208

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


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