Q: What are the prime factors of the number 837,367,210?

 A: 2, 5, 23, 1277, 2851

Why are those the prime factors of the number 837,367,210?

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 837,367,210

837,367,210
Factor Arrows
2418,683,605
Factor Arrows
583,736,721
Factor Arrows
233,640,727
Factor Arrows
1,2772,851

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, 23, 1277, 2851

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 1,277 x 2,851 = 837,367,210

This can also be written as 21 x 51 x 231 x 1,2771 x 2,8511 = 837,367,210

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


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