Q: What are the prime factors of the number 80,781,508?

 A: 2, 37, 73, 7477

Why are those the prime factors of the number 80,781,508?

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 80,781,508

80,781,508
Factor Arrows
240,390,754
Factor Arrows
220,195,377
Factor Arrows
37545,821
Factor Arrows
737,477

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, 37, 73, 7477

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 73 x 7,477 = 80,781,508

This can also be written as 22 x 371 x 731 x 7,4771 = 80,781,508

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


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