Q: What are the prime factors of the number 41,618,528?

 A: 2, 7, 185797

Why are those the prime factors of the number 41,618,528?

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 41,618,528

41,618,528
Factor Arrows
220,809,264
Factor Arrows
210,404,632
Factor Arrows
25,202,316
Factor Arrows
22,601,158
Factor Arrows
21,300,579
Factor Arrows
7185,797

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, 7, 185797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 185,797 = 41,618,528

This can also be written as 25 x 71 x 185,7971 = 41,618,528

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


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