Q: What are the prime factors of the number 80,602,458?

 A: 2, 3, 107, 223, 563

Why are those the prime factors of the number 80,602,458?

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 80,602,458

80,602,458
Factor Arrows
240,301,229
Factor Arrows
313,433,743
Factor Arrows
107125,549
Factor Arrows
223563

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, 107, 223, 563

We can check our work by multiplying all of the prime factors together: 2 x 3 x 107 x 223 x 563 = 80,602,458

This can also be written as 21 x 31 x 1071 x 2231 x 5631 = 80,602,458

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


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