Q: What are the prime factors of the number 41,743,280?

 A: 2, 5, 521791

Why are those the prime factors of the number 41,743,280?

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 41,743,280

41,743,280
Factor Arrows
220,871,640
Factor Arrows
210,435,820
Factor Arrows
25,217,910
Factor Arrows
22,608,955
Factor Arrows
5521,791

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, 521791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 521,791 = 41,743,280

This can also be written as 24 x 51 x 521,7911 = 41,743,280

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


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