Q: What are the prime factors of the number 264,455,324?

 A: 2, 7, 9444833

Why are those the prime factors of the number 264,455,324?

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 264,455,324

264,455,324
Factor Arrows
2132,227,662
Factor Arrows
266,113,831
Factor Arrows
79,444,833

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, 7, 9444833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 9,444,833 = 264,455,324

This can also be written as 22 x 71 x 9,444,8331 = 264,455,324

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


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