Q: What are the prime factors of the number 41,503,452?

 A: 2, 3, 53, 65257

Why are those the prime factors of the number 41,503,452?

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 41,503,452

41,503,452
Factor Arrows
220,751,726
Factor Arrows
210,375,863
Factor Arrows
33,458,621
Factor Arrows
5365,257

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, 53, 65257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 53 x 65,257 = 41,503,452

This can also be written as 22 x 31 x 531 x 65,2571 = 41,503,452

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


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