Q: What are the prime factors of the number 33,707,055?

 A: 3, 5, 43, 52259

Why are those the prime factors of the number 33,707,055?

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 33,707,055

33,707,055
Factor Arrows
311,235,685
Factor Arrows
52,247,137
Factor Arrows
4352,259

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, 43, 52259

We can check our work by multiplying all of the prime factors together: 3 x 5 x 43 x 52,259 = 33,707,055

This can also be written as 31 x 51 x 431 x 52,2591 = 33,707,055

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


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