Q: What are the prime factors of the number 84,108,736?

 A: 2, 1314199

Why are those the prime factors of the number 84,108,736?

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 84,108,736

84,108,736
Factor Arrows
242,054,368
Factor Arrows
221,027,184
Factor Arrows
210,513,592
Factor Arrows
25,256,796
Factor Arrows
22,628,398
Factor Arrows
21,314,199

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, 1314199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 1,314,199 = 84,108,736

This can also be written as 26 x 1,314,1991 = 84,108,736

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


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