Q: What are the prime factors of the number 988,110?

 A: 2, 3, 5, 10979

Why are those the prime factors of the number 988,110?

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 988,110

988,110
Factor Arrows
2494,055
Factor Arrows
3164,685
Factor Arrows
354,895
Factor Arrows
510,979

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, 5, 10979

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 10,979 = 988,110

This can also be written as 21 x 32 x 51 x 10,9791 = 988,110

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


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