Q: What are the prime factors of the number 247,691,828?

 A: 2, 19, 97, 33599

Why are those the prime factors of the number 247,691,828?

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 247,691,828

247,691,828
Factor Arrows
2123,845,914
Factor Arrows
261,922,957
Factor Arrows
193,259,103
Factor Arrows
9733,599

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:

2, 19, 97, 33599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 97 x 33,599 = 247,691,828

This can also be written as 22 x 191 x 971 x 33,5991 = 247,691,828

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


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