Q: What are the prime factors of the number 34,343,463?

 A: 3, 7, 11, 67, 317

Why are those the prime factors of the number 34,343,463?

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 34,343,463

34,343,463
Factor Arrows
311,447,821
Factor Arrows
71,635,403
Factor Arrows
7233,629
Factor Arrows
1121,239
Factor Arrows
67317

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, 7, 11, 67, 317

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 11 x 67 x 317 = 34,343,463

This can also be written as 31 x 72 x 111 x 671 x 3171 = 34,343,463

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


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