Q: What are the prime factors of the number 991,520?

 A: 2, 5, 6197

Why are those the prime factors of the number 991,520?

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 991,520

991,520
Factor Arrows
2495,760
Factor Arrows
2247,880
Factor Arrows
2123,940
Factor Arrows
261,970
Factor Arrows
230,985
Factor Arrows
56,197

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, 6197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 6,197 = 991,520

This can also be written as 25 x 51 x 6,1971 = 991,520

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


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