Q: What are the prime factors of the number 26,462,040?

 A: 2, 3, 5, 11, 20047

Why are those the prime factors of the number 26,462,040?

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 26,462,040

26,462,040
Factor Arrows
213,231,020
Factor Arrows
26,615,510
Factor Arrows
23,307,755
Factor Arrows
31,102,585
Factor Arrows
5220,517
Factor Arrows
1120,047

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, 20047

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 20,047 = 26,462,040

This can also be written as 23 x 31 x 51 x 111 x 20,0471 = 26,462,040

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


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