Q: What are the prime factors of the number 241,173,443?

 A: 7, 61, 80687

Why are those the prime factors of the number 241,173,443?

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 241,173,443

241,173,443
Factor Arrows
734,453,349
Factor Arrows
74,921,907
Factor Arrows
6180,687

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, 61, 80687

We can check our work by multiplying all of the prime factors together: 7 x 7 x 61 x 80,687 = 241,173,443

This can also be written as 72 x 611 x 80,6871 = 241,173,443

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


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