Q: What are the prime factors of the number 305,035,119?

 A: 3, 2477, 4561

Why are those the prime factors of the number 305,035,119?

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 305,035,119

305,035,119
Factor Arrows
3101,678,373
Factor Arrows
333,892,791
Factor Arrows
311,297,597
Factor Arrows
2,4774,561

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, 2477, 4561

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 2,477 x 4,561 = 305,035,119

This can also be written as 33 x 2,4771 x 4,5611 = 305,035,119

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


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