Q: What are the prime factors of the number 11,991,040?

 A: 2, 5, 1171

Why are those the prime factors of the number 11,991,040?

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 11,991,040

11,991,040
Factor Arrows
25,995,520
Factor Arrows
22,997,760
Factor Arrows
21,498,880
Factor Arrows
2749,440
Factor Arrows
2374,720
Factor Arrows
2187,360
Factor Arrows
293,680
Factor Arrows
246,840
Factor Arrows
223,420
Factor Arrows
211,710
Factor Arrows
25,855
Factor Arrows
51,171

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, 1171

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 2 x 2 x 2 x 5 x 1,171 = 11,991,040

This can also be written as 211 x 51 x 1,1711 = 11,991,040

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


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