Q: What are the prime factors of the number 33,100,110?

 A: 2, 3, 5, 43, 2851

Why are those the prime factors of the number 33,100,110?

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 33,100,110

33,100,110
Factor Arrows
216,550,055
Factor Arrows
35,516,685
Factor Arrows
31,838,895
Factor Arrows
3612,965
Factor Arrows
5122,593
Factor Arrows
432,851

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:

2, 3, 5, 43, 2851

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 43 x 2,851 = 33,100,110

This can also be written as 21 x 33 x 51 x 431 x 2,8511 = 33,100,110

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


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