Q: What are the prime factors of the number 70,904?

 A: 2, 8863

Why are those the prime factors of the number 70,904?

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 70,904

70,904
Factor Arrows
235,452
Factor Arrows
217,726
Factor Arrows
28,863

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, 8863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 8,863 = 70,904

This can also be written as 23 x 8,8631 = 70,904

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


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