Q: What are the prime factors of the number 66,102,108?

 A: 2, 3, 317, 17377

Why are those the prime factors of the number 66,102,108?

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 66,102,108

66,102,108
Factor Arrows
233,051,054
Factor Arrows
216,525,527
Factor Arrows
35,508,509
Factor Arrows
31717,377

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, 3, 317, 17377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 317 x 17,377 = 66,102,108

This can also be written as 22 x 31 x 3171 x 17,3771 = 66,102,108

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


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