Q: What are the prime factors of the number 41,195,461?

 A: 23, 283, 6329

Why are those the prime factors of the number 41,195,461?

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 41,195,461

41,195,461
Factor Arrows
231,791,107
Factor Arrows
2836,329

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:

23, 283, 6329

We can check our work by multiplying all of the prime factors together: 23 x 283 x 6,329 = 41,195,461

This can also be written as 231 x 2831 x 6,3291 = 41,195,461

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


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