Q: What are the prime factors of the number 41,004,036?

 A: 2, 3, 379667

Why are those the prime factors of the number 41,004,036?

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 41,004,036

41,004,036
Factor Arrows
220,502,018
Factor Arrows
210,251,009
Factor Arrows
33,417,003
Factor Arrows
31,139,001
Factor Arrows
3379,667

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, 379667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 379,667 = 41,004,036

This can also be written as 22 x 33 x 379,6671 = 41,004,036

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


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