Q: What are the prime factors of the number 871,984?

 A: 2, 54499

Why are those the prime factors of the number 871,984?

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 871,984

871,984
Factor Arrows
2435,992
Factor Arrows
2217,996
Factor Arrows
2108,998
Factor Arrows
254,499

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, 54499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 54,499 = 871,984

This can also be written as 24 x 54,4991 = 871,984

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


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