Q: What are the prime factors of the number 9,416,976?

 A: 2, 3, 196187

Why are those the prime factors of the number 9,416,976?

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 9,416,976

9,416,976
Factor Arrows
24,708,488
Factor Arrows
22,354,244
Factor Arrows
21,177,122
Factor Arrows
2588,561
Factor Arrows
3196,187

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, 196187

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 196,187 = 9,416,976

This can also be written as 24 x 31 x 196,1871 = 9,416,976

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


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