Q: What are the prime factors of the number 33,707,681?

 A: 7, 743, 6481

Why are those the prime factors of the number 33,707,681?

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 33,707,681

33,707,681
Factor Arrows
74,815,383
Factor Arrows
7436,481

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:

7, 743, 6481

We can check our work by multiplying all of the prime factors together: 7 x 743 x 6,481 = 33,707,681

This can also be written as 71 x 7431 x 6,4811 = 33,707,681

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


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