Q: What are the prime factors of the number 989,163?

 A: 3, 7, 2243

Why are those the prime factors of the number 989,163?

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 989,163

989,163
Factor Arrows
3329,721
Factor Arrows
3109,907
Factor Arrows
715,701
Factor Arrows
72,243

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, 7, 2243

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 2,243 = 989,163

This can also be written as 32 x 72 x 2,2431 = 989,163

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


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