Q: What are the prime factors of the number 34,302,123?

 A: 3, 141161

Why are those the prime factors of the number 34,302,123?

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 34,302,123

34,302,123
Factor Arrows
311,434,041
Factor Arrows
33,811,347
Factor Arrows
31,270,449
Factor Arrows
3423,483
Factor Arrows
3141,161

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, 141161

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 141,161 = 34,302,123

This can also be written as 35 x 141,1611 = 34,302,123

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


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