Q: What are the prime factors of the number 871,960?

 A: 2, 5, 21799

Why are those the prime factors of the number 871,960?

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 871,960

871,960
Factor Arrows
2435,980
Factor Arrows
2217,990
Factor Arrows
2108,995
Factor Arrows
521,799

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, 5, 21799

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 21,799 = 871,960

This can also be written as 23 x 51 x 21,7991 = 871,960

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


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