Q: What are the prime factors of the number 12,361,732?

 A: 2, 317, 9749

Why are those the prime factors of the number 12,361,732?

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 12,361,732

12,361,732
Factor Arrows
26,180,866
Factor Arrows
23,090,433
Factor Arrows
3179,749

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, 317, 9749

We can check our work by multiplying all of the prime factors together: 2 x 2 x 317 x 9,749 = 12,361,732

This can also be written as 22 x 3171 x 9,7491 = 12,361,732

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


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