Q: What are the prime factors of the number 41,050,521?

 A: 3, 193, 23633

Why are those the prime factors of the number 41,050,521?

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 41,050,521

41,050,521
Factor Arrows
313,683,507
Factor Arrows
34,561,169
Factor Arrows
19323,633

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, 193, 23633

We can check our work by multiplying all of the prime factors together: 3 x 3 x 193 x 23,633 = 41,050,521

This can also be written as 32 x 1931 x 23,6331 = 41,050,521

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


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