Q: What are the prime factors of the number 41,543,238?

 A: 2, 3, 11, 313, 2011

Why are those the prime factors of the number 41,543,238?

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 41,543,238

41,543,238
Factor Arrows
220,771,619
Factor Arrows
36,923,873
Factor Arrows
11629,443
Factor Arrows
3132,011

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, 11, 313, 2011

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 313 x 2,011 = 41,543,238

This can also be written as 21 x 31 x 111 x 3131 x 2,0111 = 41,543,238

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


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