Q: What are the prime factors of the number 14,373,740?

 A: 2, 5, 307, 2341

Why are those the prime factors of the number 14,373,740?

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 14,373,740

14,373,740
Factor Arrows
27,186,870
Factor Arrows
23,593,435
Factor Arrows
5718,687
Factor Arrows
3072,341

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, 5, 307, 2341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 307 x 2,341 = 14,373,740

This can also be written as 22 x 51 x 3071 x 2,3411 = 14,373,740

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


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