Q: What are the prime factors of the number 885,416?

 A: 2, 7, 97, 163

Why are those the prime factors of the number 885,416?

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 885,416

885,416
Factor Arrows
2442,708
Factor Arrows
2221,354
Factor Arrows
2110,677
Factor Arrows
715,811
Factor Arrows
97163

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, 7, 97, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 97 x 163 = 885,416

This can also be written as 23 x 71 x 971 x 1631 = 885,416

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


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