Q: What are the prime factors of the number 868,992?

 A: 2, 3, 31, 73

Why are those the prime factors of the number 868,992?

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 868,992

868,992
Factor Arrows
2434,496
Factor Arrows
2217,248
Factor Arrows
2108,624
Factor Arrows
254,312
Factor Arrows
227,156
Factor Arrows
213,578
Factor Arrows
26,789
Factor Arrows
32,263
Factor Arrows
3173

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, 31, 73

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 2 x 3 x 31 x 73 = 868,992

This can also be written as 27 x 31 x 311 x 731 = 868,992

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


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