Q: What are the prime factors of the number 41,806,655?

 A: 5, 11, 17, 61, 733

Why are those the prime factors of the number 41,806,655?

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 41,806,655

41,806,655
Factor Arrows
58,361,331
Factor Arrows
11760,121
Factor Arrows
1744,713
Factor Arrows
61733

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:

5, 11, 17, 61, 733

We can check our work by multiplying all of the prime factors together: 5 x 11 x 17 x 61 x 733 = 41,806,655

This can also be written as 51 x 111 x 171 x 611 x 7331 = 41,806,655

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


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