Q: What are the prime factors of the number 988,056?

 A: 2, 3, 13723

Why are those the prime factors of the number 988,056?

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 988,056

988,056
Factor Arrows
2494,028
Factor Arrows
2247,014
Factor Arrows
2123,507
Factor Arrows
341,169
Factor Arrows
313,723

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, 13723

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13,723 = 988,056

This can also be written as 23 x 32 x 13,7231 = 988,056

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


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