Q: What are the prime factors of the number 125,343,533?

 A: 7, 17, 67, 79, 199

Why are those the prime factors of the number 125,343,533?

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 125,343,533

125,343,533
Factor Arrows
717,906,219
Factor Arrows
171,053,307
Factor Arrows
6715,721
Factor Arrows
79199

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, 17, 67, 79, 199

We can check our work by multiplying all of the prime factors together: 7 x 17 x 67 x 79 x 199 = 125,343,533

This can also be written as 71 x 171 x 671 x 791 x 1991 = 125,343,533

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


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