Q: What are the prime factors of the number 41,394,336?

 A: 2, 3, 431191

Why are those the prime factors of the number 41,394,336?

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 41,394,336

41,394,336
Factor Arrows
220,697,168
Factor Arrows
210,348,584
Factor Arrows
25,174,292
Factor Arrows
22,587,146
Factor Arrows
21,293,573
Factor Arrows
3431,191

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, 431191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 431,191 = 41,394,336

This can also be written as 25 x 31 x 431,1911 = 41,394,336

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


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