Q: What are the prime factors of the number 94,095,799?

 A: 7, 17, 193, 241

Why are those the prime factors of the number 94,095,799?

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 94,095,799

94,095,799
Factor Arrows
713,442,257
Factor Arrows
17790,721
Factor Arrows
1746,513
Factor Arrows
193241

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, 193, 241

We can check our work by multiplying all of the prime factors together: 7 x 17 x 17 x 193 x 241 = 94,095,799

This can also be written as 71 x 172 x 1931 x 2411 = 94,095,799

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


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