Q: What are the prime factors of the number 250,063,680?

 A: 2, 3, 5, 260483

Why are those the prime factors of the number 250,063,680?

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 250,063,680

250,063,680
Factor Arrows
2125,031,840
Factor Arrows
262,515,920
Factor Arrows
231,257,960
Factor Arrows
215,628,980
Factor Arrows
27,814,490
Factor Arrows
23,907,245
Factor Arrows
31,302,415
Factor Arrows
5260,483

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, 5, 260483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 260,483 = 250,063,680

This can also be written as 26 x 31 x 51 x 260,4831 = 250,063,680

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


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