Q: What are the prime factors of the number 172,730,745?

 A: 3, 5, 11, 41, 2837

Why are those the prime factors of the number 172,730,745?

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 172,730,745

172,730,745
Factor Arrows
357,576,915
Factor Arrows
319,192,305
Factor Arrows
36,397,435
Factor Arrows
51,279,487
Factor Arrows
11116,317
Factor Arrows
412,837

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, 5, 11, 41, 2837

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 11 x 41 x 2,837 = 172,730,745

This can also be written as 33 x 51 x 111 x 411 x 2,8371 = 172,730,745

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


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