Q: What are the prime factors of the number 791,696?

 A: 2, 49481

Why are those the prime factors of the number 791,696?

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 791,696

791,696
Factor Arrows
2395,848
Factor Arrows
2197,924
Factor Arrows
298,962
Factor Arrows
249,481

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, 49481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 49,481 = 791,696

This can also be written as 24 x 49,4811 = 791,696

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


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