Q: What are the prime factors of the number 890,790?

 A: 2, 3, 5, 23, 1291

Why are those the prime factors of the number 890,790?

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 890,790

890,790
Factor Arrows
2445,395
Factor Arrows
3148,465
Factor Arrows
529,693
Factor Arrows
231,291

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, 23, 1291

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 23 x 1,291 = 890,790

This can also be written as 21 x 31 x 51 x 231 x 1,2911 = 890,790

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


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