Q: What are the prime factors of the number 14,030,190?

 A: 2, 3, 5, 155891

Why are those the prime factors of the number 14,030,190?

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 14,030,190

14,030,190
Factor Arrows
27,015,095
Factor Arrows
32,338,365
Factor Arrows
3779,455
Factor Arrows
5155,891

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, 3, 5, 155891

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 155,891 = 14,030,190

This can also be written as 21 x 32 x 51 x 155,8911 = 14,030,190

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


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