Q: What are the prime factors of the number 41,101,040?

 A: 2, 5, 31, 16573

Why are those the prime factors of the number 41,101,040?

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 41,101,040

41,101,040
Factor Arrows
220,550,520
Factor Arrows
210,275,260
Factor Arrows
25,137,630
Factor Arrows
22,568,815
Factor Arrows
5513,763
Factor Arrows
3116,573

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, 5, 31, 16573

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 31 x 16,573 = 41,101,040

This can also be written as 24 x 51 x 311 x 16,5731 = 41,101,040

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


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