Q: What are the prime factors of the number 12,361,305?

 A: 3, 5, 11, 19, 3943

Why are those the prime factors of the number 12,361,305?

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 12,361,305

12,361,305
Factor Arrows
34,120,435
Factor Arrows
5824,087
Factor Arrows
1174,917
Factor Arrows
193,943

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, 5, 11, 19, 3943

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 19 x 3,943 = 12,361,305

This can also be written as 31 x 51 x 111 x 191 x 3,9431 = 12,361,305

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


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