Q: What are the prime factors of the number 16,443,324?

 A: 2, 3, 5639

Why are those the prime factors of the number 16,443,324?

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 16,443,324

16,443,324
Factor Arrows
28,221,662
Factor Arrows
24,110,831
Factor Arrows
31,370,277
Factor Arrows
3456,759
Factor Arrows
3152,253
Factor Arrows
350,751
Factor Arrows
316,917
Factor Arrows
35,639

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, 5639

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5,639 = 16,443,324

This can also be written as 22 x 36 x 5,6391 = 16,443,324

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


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