Q: What are the prime factors of the number 84,053,380?

 A: 2, 5, 89, 47221

Why are those the prime factors of the number 84,053,380?

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 84,053,380

84,053,380
Factor Arrows
242,026,690
Factor Arrows
221,013,345
Factor Arrows
54,202,669
Factor Arrows
8947,221

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, 89, 47221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 89 x 47,221 = 84,053,380

This can also be written as 22 x 51 x 891 x 47,2211 = 84,053,380

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


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