Q: What are the prime factors of the number 41,256?

 A: 2, 3, 191

Why are those the prime factors of the number 41,256?

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 41,256

41,256
Factor Arrows
220,628
Factor Arrows
210,314
Factor Arrows
25,157
Factor Arrows
31,719
Factor Arrows
3573
Factor Arrows
3191

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, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 191 = 41,256

This can also be written as 23 x 33 x 1911 = 41,256

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


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