Q: What are the prime factors of the number 250,024,083?

 A: 3, 17, 31, 158143

Why are those the prime factors of the number 250,024,083?

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 250,024,083

250,024,083
Factor Arrows
383,341,361
Factor Arrows
174,902,433
Factor Arrows
31158,143

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, 17, 31, 158143

We can check our work by multiplying all of the prime factors together: 3 x 17 x 31 x 158,143 = 250,024,083

This can also be written as 31 x 171 x 311 x 158,1431 = 250,024,083

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


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