Q: What are the prime factors of the number 849,076?

 A: 2, 37, 5737

Why are those the prime factors of the number 849,076?

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 849,076

849,076
Factor Arrows
2424,538
Factor Arrows
2212,269
Factor Arrows
375,737

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, 37, 5737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 5,737 = 849,076

This can also be written as 22 x 371 x 5,7371 = 849,076

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


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