Q: What are the prime factors of the number 41,325,551?

 A: 19, 29, 179, 419

Why are those the prime factors of the number 41,325,551?

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 41,325,551

41,325,551
Factor Arrows
192,175,029
Factor Arrows
2975,001
Factor Arrows
179419

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:

19, 29, 179, 419

We can check our work by multiplying all of the prime factors together: 19 x 29 x 179 x 419 = 41,325,551

This can also be written as 191 x 291 x 1791 x 4191 = 41,325,551

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


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