Q: What are the prime factors of the number 41,090,355?

 A: 3, 5, 304373

Why are those the prime factors of the number 41,090,355?

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 41,090,355

41,090,355
Factor Arrows
313,696,785
Factor Arrows
34,565,595
Factor Arrows
31,521,865
Factor Arrows
5304,373

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, 304373

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 304,373 = 41,090,355

This can also be written as 33 x 51 x 304,3731 = 41,090,355

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


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