Q: What are the prime factors of the number 41,114,664?

 A: 2, 3, 571037

Why are those the prime factors of the number 41,114,664?

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 41,114,664

41,114,664
Factor Arrows
220,557,332
Factor Arrows
210,278,666
Factor Arrows
25,139,333
Factor Arrows
31,713,111
Factor Arrows
3571,037

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, 571037

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 571,037 = 41,114,664

This can also be written as 23 x 32 x 571,0371 = 41,114,664

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


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