Q: What are the prime factors of the number 257,868,325?

 A: 5, 11, 13, 17, 4243

Why are those the prime factors of the number 257,868,325?

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 257,868,325

257,868,325
Factor Arrows
551,573,665
Factor Arrows
510,314,733
Factor Arrows
11937,703
Factor Arrows
1372,131
Factor Arrows
174,243

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:

5, 11, 13, 17, 4243

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 13 x 17 x 4,243 = 257,868,325

This can also be written as 52 x 111 x 131 x 171 x 4,2431 = 257,868,325

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


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