Q: What are the prime factors of the number 14,060,277?

 A: 3, 7, 11, 6763

Why are those the prime factors of the number 14,060,277?

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 14,060,277

14,060,277
Factor Arrows
34,686,759
Factor Arrows
31,562,253
Factor Arrows
3520,751
Factor Arrows
774,393
Factor Arrows
116,763

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:

3, 7, 11, 6763

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 11 x 6,763 = 14,060,277

This can also be written as 33 x 71 x 111 x 6,7631 = 14,060,277

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


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