Q: What are the prime factors of the number 39,935,961?

 A: 3, 13, 341333

Why are those the prime factors of the number 39,935,961?

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 39,935,961

39,935,961
Factor Arrows
313,311,987
Factor Arrows
34,437,329
Factor Arrows
13341,333

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, 13, 341333

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 341,333 = 39,935,961

This can also be written as 32 x 131 x 341,3331 = 39,935,961

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


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