Q: What are the prime factors of the number 80,453,790?

 A: 2, 3, 5, 19, 15683

Why are those the prime factors of the number 80,453,790?

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 80,453,790

80,453,790
Factor Arrows
240,226,895
Factor Arrows
313,408,965
Factor Arrows
34,469,655
Factor Arrows
31,489,885
Factor Arrows
5297,977
Factor Arrows
1915,683

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, 5, 19, 15683

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 19 x 15,683 = 80,453,790

This can also be written as 21 x 33 x 51 x 191 x 15,6831 = 80,453,790

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


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