Q: What are the prime factors of the number 41,104,668?

 A: 2, 3, 11, 28309

Why are those the prime factors of the number 41,104,668?

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 41,104,668

41,104,668
Factor Arrows
220,552,334
Factor Arrows
210,276,167
Factor Arrows
33,425,389
Factor Arrows
11311,399
Factor Arrows
1128,309

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, 11, 28309

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 11 x 28,309 = 41,104,668

This can also be written as 22 x 31 x 112 x 28,3091 = 41,104,668

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


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