Q: What are the prime factors of the number 989,688?

 A: 2, 3, 7, 43, 137

Why are those the prime factors of the number 989,688?

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 989,688

989,688
Factor Arrows
2494,844
Factor Arrows
2247,422
Factor Arrows
2123,711
Factor Arrows
341,237
Factor Arrows
75,891
Factor Arrows
43137

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, 7, 43, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 43 x 137 = 989,688

This can also be written as 23 x 31 x 71 x 431 x 1371 = 989,688

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


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