Q: What are the prime factors of the number 41,313,879?

 A: 3, 293, 15667

Why are those the prime factors of the number 41,313,879?

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 41,313,879

41,313,879
Factor Arrows
313,771,293
Factor Arrows
34,590,431
Factor Arrows
29315,667

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:

3, 293, 15667

We can check our work by multiplying all of the prime factors together: 3 x 3 x 293 x 15,667 = 41,313,879

This can also be written as 32 x 2931 x 15,6671 = 41,313,879

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


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