Q: What are the prime factors of the number 41,141,115?

 A: 3, 5, 11287

Why are those the prime factors of the number 41,141,115?

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 41,141,115

41,141,115
Factor Arrows
313,713,705
Factor Arrows
34,571,235
Factor Arrows
31,523,745
Factor Arrows
3507,915
Factor Arrows
3169,305
Factor Arrows
356,435
Factor Arrows
511,287

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, 5, 11287

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 11,287 = 41,141,115

This can also be written as 36 x 51 x 11,2871 = 41,141,115

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


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