Q: What are the prime factors of the number 14,439,879?

 A: 3, 37, 103, 421

Why are those the prime factors of the number 14,439,879?

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 14,439,879

14,439,879
Factor Arrows
34,813,293
Factor Arrows
31,604,431
Factor Arrows
3743,363
Factor Arrows
103421

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, 37, 103, 421

We can check our work by multiplying all of the prime factors together: 3 x 3 x 37 x 103 x 421 = 14,439,879

This can also be written as 32 x 371 x 1031 x 4211 = 14,439,879

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


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