Q: What are the prime factors of the number 8,366,912?

 A: 2, 239, 547

Why are those the prime factors of the number 8,366,912?

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 8,366,912

8,366,912
Factor Arrows
24,183,456
Factor Arrows
22,091,728
Factor Arrows
21,045,864
Factor Arrows
2522,932
Factor Arrows
2261,466
Factor Arrows
2130,733
Factor Arrows
239547

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, 239, 547

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 239 x 547 = 8,366,912

This can also be written as 26 x 2391 x 5471 = 8,366,912

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


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