Q: What are the prime factors of the number 256,771,448?

 A: 2, 23, 61, 22877

Why are those the prime factors of the number 256,771,448?

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 256,771,448

256,771,448
Factor Arrows
2128,385,724
Factor Arrows
264,192,862
Factor Arrows
232,096,431
Factor Arrows
231,395,497
Factor Arrows
6122,877

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, 23, 61, 22877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 61 x 22,877 = 256,771,448

This can also be written as 23 x 231 x 611 x 22,8771 = 256,771,448

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


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