Q: What are the prime factors of the number 84,615,273?

 A: 3, 17, 20483

Why are those the prime factors of the number 84,615,273?

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 84,615,273

84,615,273
Factor Arrows
328,205,091
Factor Arrows
39,401,697
Factor Arrows
33,133,899
Factor Arrows
31,044,633
Factor Arrows
3348,211
Factor Arrows
1720,483

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:

3, 17, 20483

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 17 x 20,483 = 84,615,273

This can also be written as 35 x 171 x 20,4831 = 84,615,273

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


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