Q: What are the prime factors of the number 26,641,560?

 A: 2, 3, 5, 11, 20183

Why are those the prime factors of the number 26,641,560?

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 26,641,560

26,641,560
Factor Arrows
213,320,780
Factor Arrows
26,660,390
Factor Arrows
23,330,195
Factor Arrows
31,110,065
Factor Arrows
5222,013
Factor Arrows
1120,183

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, 5, 11, 20183

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 11 x 20,183 = 26,641,560

This can also be written as 23 x 31 x 51 x 111 x 20,1831 = 26,641,560

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


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