Q: What are the prime factors of the number 84,080,500?

 A: 2, 5, 7, 24023

Why are those the prime factors of the number 84,080,500?

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 84,080,500

84,080,500
Factor Arrows
242,040,250
Factor Arrows
221,020,125
Factor Arrows
54,204,025
Factor Arrows
5840,805
Factor Arrows
5168,161
Factor Arrows
724,023

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, 5, 7, 24023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 7 x 24,023 = 84,080,500

This can also be written as 22 x 53 x 71 x 24,0231 = 84,080,500

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


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