Q: What are the prime factors of the number 80,264,019?

 A: 3, 11, 41, 5393

Why are those the prime factors of the number 80,264,019?

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 80,264,019

80,264,019
Factor Arrows
326,754,673
Factor Arrows
112,432,243
Factor Arrows
11221,113
Factor Arrows
415,393

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, 11, 41, 5393

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 41 x 5,393 = 80,264,019

This can also be written as 31 x 112 x 411 x 5,3931 = 80,264,019

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


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