Q: What are the prime factors of the number 258,252,401?

 A: 11, 467, 50273

Why are those the prime factors of the number 258,252,401?

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 258,252,401

258,252,401
Factor Arrows
1123,477,491
Factor Arrows
46750,273

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:

11, 467, 50273

We can check our work by multiplying all of the prime factors together: 11 x 467 x 50,273 = 258,252,401

This can also be written as 111 x 4671 x 50,2731 = 258,252,401

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


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