Q: What are the prime factors of the number 16,945,176?

 A: 2, 3, 706049

Why are those the prime factors of the number 16,945,176?

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 16,945,176

16,945,176
Factor Arrows
28,472,588
Factor Arrows
24,236,294
Factor Arrows
22,118,147
Factor Arrows
3706,049

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, 706049

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 706,049 = 16,945,176

This can also be written as 23 x 31 x 706,0491 = 16,945,176

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


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