Q: What are the prime factors of the number 13,111,040?

 A: 2, 5, 10243

Why are those the prime factors of the number 13,111,040?

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 13,111,040

13,111,040
Factor Arrows
26,555,520
Factor Arrows
23,277,760
Factor Arrows
21,638,880
Factor Arrows
2819,440
Factor Arrows
2409,720
Factor Arrows
2204,860
Factor Arrows
2102,430
Factor Arrows
251,215
Factor Arrows
510,243

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, 10243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 10,243 = 13,111,040

This can also be written as 28 x 51 x 10,2431 = 13,111,040

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


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