Q: What are the prime factors of the number 12,267,712?

 A: 2, 103, 1861

Why are those the prime factors of the number 12,267,712?

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 12,267,712

12,267,712
Factor Arrows
26,133,856
Factor Arrows
23,066,928
Factor Arrows
21,533,464
Factor Arrows
2766,732
Factor Arrows
2383,366
Factor Arrows
2191,683
Factor Arrows
1031,861

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, 103, 1861

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 103 x 1,861 = 12,267,712

This can also be written as 26 x 1031 x 1,8611 = 12,267,712

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


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