Q: What are the prime factors of the number 14,461,744?

 A: 2, 11, 127, 647

Why are those the prime factors of the number 14,461,744?

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 14,461,744

14,461,744
Factor Arrows
27,230,872
Factor Arrows
23,615,436
Factor Arrows
21,807,718
Factor Arrows
2903,859
Factor Arrows
1182,169
Factor Arrows
127647

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, 11, 127, 647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 127 x 647 = 14,461,744

This can also be written as 24 x 111 x 1271 x 6471 = 14,461,744

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


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