Q: What are the prime factors of the number 41,441,211?

 A: 3, 7, 93971

Why are those the prime factors of the number 41,441,211?

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 41,441,211

41,441,211
Factor Arrows
313,813,737
Factor Arrows
34,604,579
Factor Arrows
7657,797
Factor Arrows
793,971

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, 7, 93971

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 93,971 = 41,441,211

This can also be written as 32 x 72 x 93,9711 = 41,441,211

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


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