Q: What are the prime factors of the number 16,193,892?

 A: 2, 3, 11, 13, 9437

Why are those the prime factors of the number 16,193,892?

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 16,193,892

16,193,892
Factor Arrows
28,096,946
Factor Arrows
24,048,473
Factor Arrows
31,349,491
Factor Arrows
11122,681
Factor Arrows
139,437

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, 11, 13, 9437

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 13 x 9,437 = 16,193,892

This can also be written as 22 x 31 x 111 x 131 x 9,4371 = 16,193,892

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


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