Q: What are the prime factors of the number 104,111,247?

 A: 3, 17, 29, 70393

Why are those the prime factors of the number 104,111,247?

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 104,111,247

104,111,247
Factor Arrows
334,703,749
Factor Arrows
172,041,397
Factor Arrows
2970,393

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:

3, 17, 29, 70393

We can check our work by multiplying all of the prime factors together: 3 x 17 x 29 x 70,393 = 104,111,247

This can also be written as 31 x 171 x 291 x 70,3931 = 104,111,247

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


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