Q: What are the prime factors of the number 41,450,016?

 A: 2, 3, 41, 10531

Why are those the prime factors of the number 41,450,016?

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 41,450,016

41,450,016
Factor Arrows
220,725,008
Factor Arrows
210,362,504
Factor Arrows
25,181,252
Factor Arrows
22,590,626
Factor Arrows
21,295,313
Factor Arrows
3431,771
Factor Arrows
4110,531

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, 41, 10531

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 41 x 10,531 = 41,450,016

This can also be written as 25 x 31 x 411 x 10,5311 = 41,450,016

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


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