Q: What are the prime factors of the number 14,389,558?

 A: 2, 139, 191, 271

Why are those the prime factors of the number 14,389,558?

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 14,389,558

14,389,558
Factor Arrows
27,194,779
Factor Arrows
13951,761
Factor Arrows
191271

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, 139, 191, 271

We can check our work by multiplying all of the prime factors together: 2 x 139 x 191 x 271 = 14,389,558

This can also be written as 21 x 1391 x 1911 x 2711 = 14,389,558

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


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