Q: What are the prime factors of the number 16,765,542?

 A: 2, 3, 3833

Why are those the prime factors of the number 16,765,542?

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 16,765,542

16,765,542
Factor Arrows
28,382,771
Factor Arrows
32,794,257
Factor Arrows
3931,419
Factor Arrows
3310,473
Factor Arrows
3103,491
Factor Arrows
334,497
Factor Arrows
311,499
Factor Arrows
33,833

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, 3833

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3,833 = 16,765,542

This can also be written as 21 x 37 x 3,8331 = 16,765,542

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


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