Q: What are the prime factors of the number 41,621,832?

 A: 2, 3, 7, 269, 307

Why are those the prime factors of the number 41,621,832?

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 41,621,832

41,621,832
Factor Arrows
220,810,916
Factor Arrows
210,405,458
Factor Arrows
25,202,729
Factor Arrows
31,734,243
Factor Arrows
3578,081
Factor Arrows
782,583
Factor Arrows
269307

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, 269, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 269 x 307 = 41,621,832

This can also be written as 23 x 32 x 71 x 2691 x 3071 = 41,621,832

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


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