Q: What are the prime factors of the number 312,313,250?

 A: 2, 5, 239, 5227

Why are those the prime factors of the number 312,313,250?

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 312,313,250

312,313,250
Factor Arrows
2156,156,625
Factor Arrows
531,231,325
Factor Arrows
56,246,265
Factor Arrows
51,249,253
Factor Arrows
2395,227

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, 5, 239, 5227

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 239 x 5,227 = 312,313,250

This can also be written as 21 x 53 x 2391 x 5,2271 = 312,313,250

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


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