Q: What are the prime factors of the number 41,832,160?

 A: 2, 5, 261451

Why are those the prime factors of the number 41,832,160?

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 41,832,160

41,832,160
Factor Arrows
220,916,080
Factor Arrows
210,458,040
Factor Arrows
25,229,020
Factor Arrows
22,614,510
Factor Arrows
21,307,255
Factor Arrows
5261,451

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, 5, 261451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 261,451 = 41,832,160

This can also be written as 25 x 51 x 261,4511 = 41,832,160

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


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