Q: What are the prime factors of the number 837,520?

 A: 2, 5, 19, 29

Why are those the prime factors of the number 837,520?

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 837,520

837,520
Factor Arrows
2418,760
Factor Arrows
2209,380
Factor Arrows
2104,690
Factor Arrows
252,345
Factor Arrows
510,469
Factor Arrows
19551
Factor Arrows
1929

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, 19, 29

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 19 x 19 x 29 = 837,520

This can also be written as 24 x 51 x 192 x 291 = 837,520

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


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