Q: What are the prime factors of the number 860,992?

 A: 2, 11, 1223

Why are those the prime factors of the number 860,992?

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 860,992

860,992
Factor Arrows
2430,496
Factor Arrows
2215,248
Factor Arrows
2107,624
Factor Arrows
253,812
Factor Arrows
226,906
Factor Arrows
213,453
Factor Arrows
111,223

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, 11, 1223

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 11 x 1,223 = 860,992

This can also be written as 26 x 111 x 1,2231 = 860,992

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


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