Q: What are the prime factors of the number 791,372?

 A: 2, 43, 107

Why are those the prime factors of the number 791,372?

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 791,372

791,372
Factor Arrows
2395,686
Factor Arrows
2197,843
Factor Arrows
434,601
Factor Arrows
43107

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, 43, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 43 x 43 x 107 = 791,372

This can also be written as 22 x 432 x 1071 = 791,372

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


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