Q: What are the prime factors of the number 80,006,225?

 A: 5, 13, 246173

Why are those the prime factors of the number 80,006,225?

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 80,006,225

80,006,225
Factor Arrows
516,001,245
Factor Arrows
53,200,249
Factor Arrows
13246,173

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:

5, 13, 246173

We can check our work by multiplying all of the prime factors together: 5 x 5 x 13 x 246,173 = 80,006,225

This can also be written as 52 x 131 x 246,1731 = 80,006,225

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


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