Q: What are the prime factors of the number 979,688?

 A: 2, 151, 811

Why are those the prime factors of the number 979,688?

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 979,688

979,688
Factor Arrows
2489,844
Factor Arrows
2244,922
Factor Arrows
2122,461
Factor Arrows
151811

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, 151, 811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 151 x 811 = 979,688

This can also be written as 23 x 1511 x 8111 = 979,688

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


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