Q: What are the prime factors of the number 41,690,272?

 A: 2, 13, 593

Why are those the prime factors of the number 41,690,272?

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 41,690,272

41,690,272
Factor Arrows
220,845,136
Factor Arrows
210,422,568
Factor Arrows
25,211,284
Factor Arrows
22,605,642
Factor Arrows
21,302,821
Factor Arrows
13100,217
Factor Arrows
137,709
Factor Arrows
13593

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, 13, 593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 13 x 13 x 593 = 41,690,272

This can also be written as 25 x 133 x 5931 = 41,690,272

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


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