Q: What are the prime factors of the number 251,031,021?

 A: 3, 19, 239, 18427

Why are those the prime factors of the number 251,031,021?

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 251,031,021

251,031,021
Factor Arrows
383,677,007
Factor Arrows
194,404,053
Factor Arrows
23918,427

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:

3, 19, 239, 18427

We can check our work by multiplying all of the prime factors together: 3 x 19 x 239 x 18,427 = 251,031,021

This can also be written as 31 x 191 x 2391 x 18,4271 = 251,031,021

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


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