Q: What are the prime factors of the number 303,415,096?

 A: 2, 37, 457, 2243

Why are those the prime factors of the number 303,415,096?

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 303,415,096

303,415,096
Factor Arrows
2151,707,548
Factor Arrows
275,853,774
Factor Arrows
237,926,887
Factor Arrows
371,025,051
Factor Arrows
4572,243

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, 37, 457, 2243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 37 x 457 x 2,243 = 303,415,096

This can also be written as 23 x 371 x 4571 x 2,2431 = 303,415,096

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


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