Q: What are the prime factors of the number 387,001,467?

 A: 3, 239, 179917

Why are those the prime factors of the number 387,001,467?

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 387,001,467

387,001,467
Factor Arrows
3129,000,489
Factor Arrows
343,000,163
Factor Arrows
239179,917

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, 239, 179917

We can check our work by multiplying all of the prime factors together: 3 x 3 x 239 x 179,917 = 387,001,467

This can also be written as 32 x 2391 x 179,9171 = 387,001,467

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


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