Q: What are the prime factors of the number 17,752,905?

 A: 3, 5, 107, 1229

Why are those the prime factors of the number 17,752,905?

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 17,752,905

17,752,905
Factor Arrows
35,917,635
Factor Arrows
31,972,545
Factor Arrows
3657,515
Factor Arrows
5131,503
Factor Arrows
1071,229

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, 107, 1229

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 107 x 1,229 = 17,752,905

This can also be written as 33 x 51 x 1071 x 1,2291 = 17,752,905

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


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