Q: What are the prime factors of the number 94,086,128?

 A: 2, 599, 9817

Why are those the prime factors of the number 94,086,128?

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 94,086,128

94,086,128
Factor Arrows
247,043,064
Factor Arrows
223,521,532
Factor Arrows
211,760,766
Factor Arrows
25,880,383
Factor Arrows
5999,817

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, 599, 9817

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 599 x 9,817 = 94,086,128

This can also be written as 24 x 5991 x 9,8171 = 94,086,128

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


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