Q: What are the prime factors of the number 345,040,036?

 A: 2, 11, 167, 46957

Why are those the prime factors of the number 345,040,036?

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 345,040,036

345,040,036
Factor Arrows
2172,520,018
Factor Arrows
286,260,009
Factor Arrows
117,841,819
Factor Arrows
16746,957

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, 11, 167, 46957

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 167 x 46,957 = 345,040,036

This can also be written as 22 x 111 x 1671 x 46,9571 = 345,040,036

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


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