# What Am I?

**Number Theory**Level 3

I am a positive integer.

When I am divided by 2, I leave a remainder of 1.

When I am divided by 3, I leave a remainder of 2.

When I am divided by 4, I leave a remainder of 3.

When I am divided by 5, I leave a remainder of 4.

When I am divided by 6, I leave a remainder of 5.

When I am divided by 7, I leave a remainder of 6.

When I am divided by 8, I leave a remainder of 7.

When I am divided by 9, I leave a remainder of 8.

When I am divided by 10, I leave a remainder of 9.

When I am divided by 2, I leave a remainder of 1.

When I am divided by 3, I leave a remainder of 2.

When I am divided by 4, I leave a remainder of 3.

When I am divided by 5, I leave a remainder of 4.

When I am divided by 6, I leave a remainder of 5.

When I am divided by 7, I leave a remainder of 6.

When I am divided by 8, I leave a remainder of 7.

When I am divided by 9, I leave a remainder of 8.

When I am divided by 10, I leave a remainder of 9.

What is the smallest integer that I can be?

**Your answer seems reasonable.**Find out if you're right!

Sign up to access problem solutions.

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.