Q: What are the prime factors of the number 80,626,743?

 A: 3, 113, 79279

Why are those the prime factors of the number 80,626,743?

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 80,626,743

80,626,743
Factor Arrows
326,875,581
Factor Arrows
38,958,527
Factor Arrows
11379,279

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:

3, 113, 79279

We can check our work by multiplying all of the prime factors together: 3 x 3 x 113 x 79,279 = 80,626,743

This can also be written as 32 x 1131 x 79,2791 = 80,626,743

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


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