Q: What are the prime factors of the number 16,770,944?

 A: 2, 131023

Why are those the prime factors of the number 16,770,944?

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 16,770,944

16,770,944
Factor Arrows
28,385,472
Factor Arrows
24,192,736
Factor Arrows
22,096,368
Factor Arrows
21,048,184
Factor Arrows
2524,092
Factor Arrows
2262,046
Factor Arrows
2131,023

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, 131023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 131,023 = 16,770,944

This can also be written as 27 x 131,0231 = 16,770,944

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


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