Q: What are the prime factors of the number 250,874,882?

 A: 2, 17, 29, 254437

Why are those the prime factors of the number 250,874,882?

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 250,874,882

250,874,882
Factor Arrows
2125,437,441
Factor Arrows
177,378,673
Factor Arrows
29254,437

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, 17, 29, 254437

We can check our work by multiplying all of the prime factors together: 2 x 17 x 29 x 254,437 = 250,874,882

This can also be written as 21 x 171 x 291 x 254,4371 = 250,874,882

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


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