Q: What are the prime factors of the number 34,320,312?

 A: 2, 3, 13, 37, 991

Why are those the prime factors of the number 34,320,312?

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 34,320,312

34,320,312
Factor Arrows
217,160,156
Factor Arrows
28,580,078
Factor Arrows
24,290,039
Factor Arrows
31,430,013
Factor Arrows
3476,671
Factor Arrows
1336,667
Factor Arrows
37991

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:

2, 3, 13, 37, 991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13 x 37 x 991 = 34,320,312

This can also be written as 23 x 32 x 131 x 371 x 9911 = 34,320,312

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


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