Q: What are the prime factors of the number 2,268,768?

 A: 2, 3, 23633

Why are those the prime factors of the number 2,268,768?

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 2,268,768

2,268,768
Factor Arrows
21,134,384
Factor Arrows
2567,192
Factor Arrows
2283,596
Factor Arrows
2141,798
Factor Arrows
270,899
Factor Arrows
323,633

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, 23633

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 23,633 = 2,268,768

This can also be written as 25 x 31 x 23,6331 = 2,268,768

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


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