Q: What are the prime factors of the number 843,090?

 A: 2, 3, 5, 157, 179

Why are those the prime factors of the number 843,090?

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 843,090

843,090
Factor Arrows
2421,545
Factor Arrows
3140,515
Factor Arrows
528,103
Factor Arrows
157179

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, 3, 5, 157, 179

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 157 x 179 = 843,090

This can also be written as 21 x 31 x 51 x 1571 x 1791 = 843,090

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


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