Q: What are the prime factors of the number 63,969,108?

 A: 2, 3, 7, 108791

Why are those the prime factors of the number 63,969,108?

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 63,969,108

63,969,108
Factor Arrows
231,984,554
Factor Arrows
215,992,277
Factor Arrows
35,330,759
Factor Arrows
7761,537
Factor Arrows
7108,791

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, 7, 108791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 108,791 = 63,969,108

This can also be written as 22 x 31 x 72 x 108,7911 = 63,969,108

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


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