What is the smallest number that is divisible evenly by all of the digits 1 through 9?


Solution to the Problem:

The answer is 2520.

To be divisible by 2, you need a 2 in the answer.
To be divisible by 3, you need a 3.
To be divisible by 4, you need an additional 2 (You don't need a 4 because there is already a 2 earlier).
To be divisible by 5, you need a 5.
To be divisible by 6, you don't need any additional numbers (there is already a 2 and a 3).
To be divisible by 7, you need a 7.
To be divisible by 8, you need an additional 2.
To be divisible by 9, you need an additional 3.
Now multiply 2 x 3 x 2 x 5 x 7 x 2 x 3 = 2,520.

However, delahoydep@kpmath.com and Dakota Rees sent in the answer of 0, and 0 is divisible by each of the numbers 2, 3, 4, ..., 9!!!



Correctly solved by:

1. Chad Fore Gate City, Virginia
2. Alp Aribal Istanbul, Turkey
3. Mariah Stoddard Mountain View High School,
Mountain View, Wyoming
4. James Alarie Flint, Michigan
5. delahoydep@kpmath.com Mountain View High School,
Mountain View, Wyoming
6. Blace Martin Mountain View High School,
Mountain View, Wyoming
7. Dakota Rees Mountain View High School,
Mountain View, Wyoming
8. Chelsea Anglen Mountain View High School,
Mountain View, Wyoming
9. McKinna Salsbury Mountain View High School,
Mountain View, Wyoming
10. Halee Salsbury Mountain View High School,
Mountain View, Wyoming
11. Cami Micheli Mountain View High School,
Mountain View, Wyoming
12. Felicia Lopez Mountain View High School,
Mountain View, Wyoming
13. Tyler Cantrell Mountain View High School,
Mountain View, Wyoming
14. Karsten Hauf Mountain View High School,
Mountain View, Wyoming
15. Lisa Merwyn Taylor, Michigan