Q: What are the prime factors of the number 108,060,176?

 A: 2, 7, 964823

Why are those the prime factors of the number 108,060,176?

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 108,060,176

108,060,176
Factor Arrows
254,030,088
Factor Arrows
227,015,044
Factor Arrows
213,507,522
Factor Arrows
26,753,761
Factor Arrows
7964,823

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, 7, 964823

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 964,823 = 108,060,176

This can also be written as 24 x 71 x 964,8231 = 108,060,176

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


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