Q: What are the prime factors of the number 2,307,396?

 A: 2, 3, 7, 13, 2113

Why are those the prime factors of the number 2,307,396?

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 2,307,396

2,307,396
Factor Arrows
21,153,698
Factor Arrows
2576,849
Factor Arrows
3192,283
Factor Arrows
727,469
Factor Arrows
132,113

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, 7, 13, 2113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 13 x 2,113 = 2,307,396

This can also be written as 22 x 31 x 71 x 131 x 2,1131 = 2,307,396

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


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