Q: What are the prime factors of the number 41,140,918?

 A: 2, 7, 13, 17, 13297

Why are those the prime factors of the number 41,140,918?

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 41,140,918

41,140,918
Factor Arrows
220,570,459
Factor Arrows
72,938,637
Factor Arrows
13226,049
Factor Arrows
1713,297

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, 13, 17, 13297

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 17 x 13,297 = 41,140,918

This can also be written as 21 x 71 x 131 x 171 x 13,2971 = 41,140,918

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


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