Q: What are the prime factors of the number 770,790?

 A: 2, 3, 5, 25693

Why are those the prime factors of the number 770,790?

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 770,790

770,790
Factor Arrows
2385,395
Factor Arrows
3128,465
Factor Arrows
525,693

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, 25693

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 25,693 = 770,790

This can also be written as 21 x 31 x 51 x 25,6931 = 770,790

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


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