Q: What are the prime factors of the number 988,785?

 A: 3, 5, 7, 43, 73

Why are those the prime factors of the number 988,785?

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 988,785

988,785
Factor Arrows
3329,595
Factor Arrows
3109,865
Factor Arrows
521,973
Factor Arrows
73,139
Factor Arrows
4373

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:

3, 5, 7, 43, 73

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 43 x 73 = 988,785

This can also be written as 32 x 51 x 71 x 431 x 731 = 988,785

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


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