Q: What are the prime factors of the number 250,051,338?

 A: 2, 3, 13891741

Why are those the prime factors of the number 250,051,338?

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 250,051,338

250,051,338
Factor Arrows
2125,025,669
Factor Arrows
341,675,223
Factor Arrows
313,891,741

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, 13891741

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13,891,741 = 250,051,338

This can also be written as 21 x 32 x 13,891,7411 = 250,051,338

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


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