Q: What are the prime factors of the number 861,980?

 A: 2, 5, 7, 47, 131

Why are those the prime factors of the number 861,980?

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 861,980

861,980
Factor Arrows
2430,990
Factor Arrows
2215,495
Factor Arrows
543,099
Factor Arrows
76,157
Factor Arrows
47131

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, 7, 47, 131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 47 x 131 = 861,980

This can also be written as 22 x 51 x 71 x 471 x 1311 = 861,980

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


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