Q: What are the prime factors of the number 34,691,337?

 A: 3, 23, 29, 5779

Why are those the prime factors of the number 34,691,337?

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 34,691,337

34,691,337
Factor Arrows
311,563,779
Factor Arrows
33,854,593
Factor Arrows
23167,591
Factor Arrows
295,779

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, 23, 29, 5779

We can check our work by multiplying all of the prime factors together: 3 x 3 x 23 x 29 x 5,779 = 34,691,337

This can also be written as 32 x 231 x 291 x 5,7791 = 34,691,337

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


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