Q: What are the prime factors of the number 33,401,841?

 A: 3, 11, 43, 23539

Why are those the prime factors of the number 33,401,841?

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 33,401,841

33,401,841
Factor Arrows
311,133,947
Factor Arrows
111,012,177
Factor Arrows
4323,539

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, 11, 43, 23539

We can check our work by multiplying all of the prime factors together: 3 x 11 x 43 x 23,539 = 33,401,841

This can also be written as 31 x 111 x 431 x 23,5391 = 33,401,841

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


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