Q: What are the prime factors of the number 16,344,450?

 A: 2, 3, 5, 12107

Why are those the prime factors of the number 16,344,450?

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 16,344,450

16,344,450
Factor Arrows
28,172,225
Factor Arrows
32,724,075
Factor Arrows
3908,025
Factor Arrows
3302,675
Factor Arrows
560,535
Factor Arrows
512,107

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, 12107

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 12,107 = 16,344,450

This can also be written as 21 x 33 x 52 x 12,1071 = 16,344,450

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


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