Q: What are the prime factors of the number 108,010,662?

 A: 2, 3, 157, 114661

Why are those the prime factors of the number 108,010,662?

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 108,010,662

108,010,662
Factor Arrows
254,005,331
Factor Arrows
318,001,777
Factor Arrows
157114,661

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, 157, 114661

We can check our work by multiplying all of the prime factors together: 2 x 3 x 157 x 114,661 = 108,010,662

This can also be written as 21 x 31 x 1571 x 114,6611 = 108,010,662

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


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