Q: What are the prime factors of the number 305,022,030?

 A: 2, 3, 5, 113, 89977

Why are those the prime factors of the number 305,022,030?

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 305,022,030

305,022,030
Factor Arrows
2152,511,015
Factor Arrows
350,837,005
Factor Arrows
510,167,401
Factor Arrows
11389,977

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, 3, 5, 113, 89977

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 113 x 89,977 = 305,022,030

This can also be written as 21 x 31 x 51 x 1131 x 89,9771 = 305,022,030

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


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