Q: What are the prime factors of the number 345,551,103?

 A: 3, 23, 37, 557

Why are those the prime factors of the number 345,551,103?

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 345,551,103

345,551,103
Factor Arrows
3115,183,701
Factor Arrows
338,394,567
Factor Arrows
312,798,189
Factor Arrows
34,266,063
Factor Arrows
31,422,021
Factor Arrows
3474,007
Factor Arrows
2320,609
Factor Arrows
37557

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, 23, 37, 557

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 23 x 37 x 557 = 345,551,103

This can also be written as 36 x 231 x 371 x 5571 = 345,551,103

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


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