Q: What are the prime factors of the number 84,693,560?

 A: 2, 5, 7, 6173

Why are those the prime factors of the number 84,693,560?

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 84,693,560

84,693,560
Factor Arrows
242,346,780
Factor Arrows
221,173,390
Factor Arrows
210,586,695
Factor Arrows
52,117,339
Factor Arrows
7302,477
Factor Arrows
743,211
Factor Arrows
76,173

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:

2, 5, 7, 6173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 7 x 7 x 6,173 = 84,693,560

This can also be written as 23 x 51 x 73 x 6,1731 = 84,693,560

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


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