Q: What are the prime factors of the number 14,236,976?

 A: 2, 13, 68447

Why are those the prime factors of the number 14,236,976?

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 14,236,976

14,236,976
Factor Arrows
27,118,488
Factor Arrows
23,559,244
Factor Arrows
21,779,622
Factor Arrows
2889,811
Factor Arrows
1368,447

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, 13, 68447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 68,447 = 14,236,976

This can also be written as 24 x 131 x 68,4471 = 14,236,976

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


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