Q: What are the prime factors of the number 41,068,485?

 A: 3, 5, 304211

Why are those the prime factors of the number 41,068,485?

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 41,068,485

41,068,485
Factor Arrows
313,689,495
Factor Arrows
34,563,165
Factor Arrows
31,521,055
Factor Arrows
5304,211

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, 304211

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 304,211 = 41,068,485

This can also be written as 33 x 51 x 304,2111 = 41,068,485

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


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