Q: What are the prime factors of the number 16,543,764?

 A: 2, 3, 51061

Why are those the prime factors of the number 16,543,764?

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 16,543,764

16,543,764
Factor Arrows
28,271,882
Factor Arrows
24,135,941
Factor Arrows
31,378,647
Factor Arrows
3459,549
Factor Arrows
3153,183
Factor Arrows
351,061

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, 51061

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 51,061 = 16,543,764

This can also be written as 22 x 34 x 51,0611 = 16,543,764

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


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