Q: What are the prime factors of the number 41,810,041?

 A: 7, 13, 31, 14821

Why are those the prime factors of the number 41,810,041?

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 41,810,041

41,810,041
Factor Arrows
75,972,863
Factor Arrows
13459,451
Factor Arrows
3114,821

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:

7, 13, 31, 14821

We can check our work by multiplying all of the prime factors together: 7 x 13 x 31 x 14,821 = 41,810,041

This can also be written as 71 x 131 x 311 x 14,8211 = 41,810,041

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


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