Q: What are the prime factors of the number 84,381,885?

 A: 3, 5, 7, 89293

Why are those the prime factors of the number 84,381,885?

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 84,381,885

84,381,885
Factor Arrows
328,127,295
Factor Arrows
39,375,765
Factor Arrows
33,125,255
Factor Arrows
5625,051
Factor Arrows
789,293

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, 5, 7, 89293

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 7 x 89,293 = 84,381,885

This can also be written as 33 x 51 x 71 x 89,2931 = 84,381,885

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


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