Q: What are the prime factors of the number 11,959,374?

 A: 2, 3, 7, 284747

Why are those the prime factors of the number 11,959,374?

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 11,959,374

11,959,374
Factor Arrows
25,979,687
Factor Arrows
31,993,229
Factor Arrows
7284,747

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, 284747

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 284,747 = 11,959,374

This can also be written as 21 x 31 x 71 x 284,7471 = 11,959,374

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


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