Q: What are the prime factors of the number 875,988?

 A: 2, 3, 8111

Why are those the prime factors of the number 875,988?

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 875,988

875,988
Factor Arrows
2437,994
Factor Arrows
2218,997
Factor Arrows
372,999
Factor Arrows
324,333
Factor Arrows
38,111

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, 8111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 8,111 = 875,988

This can also be written as 22 x 33 x 8,1111 = 875,988

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


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