Q: What are the prime factors of the number 257,544,816?

 A: 2, 3, 5365517

Why are those the prime factors of the number 257,544,816?

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 257,544,816

257,544,816
Factor Arrows
2128,772,408
Factor Arrows
264,386,204
Factor Arrows
232,193,102
Factor Arrows
216,096,551
Factor Arrows
35,365,517

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, 5365517

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5,365,517 = 257,544,816

This can also be written as 24 x 31 x 5,365,5171 = 257,544,816

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


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