Q: What are the prime factors of the number 311,452,552?

 A: 2, 38931569

Why are those the prime factors of the number 311,452,552?

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 311,452,552

311,452,552
Factor Arrows
2155,726,276
Factor Arrows
277,863,138
Factor Arrows
238,931,569

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, 38931569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 38,931,569 = 311,452,552

This can also be written as 23 x 38,931,5691 = 311,452,552

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


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