List all the numbers between 3400 and 3500 that are divisible by 10,5, and 2. Explain your thinking

The numbers are 3400, 3410, 3420, 3430, 3440, 3450, 3460, 3470, 3480, 3490, and 3500.

My reasoning is that if a number is divisible by 10, it will also be divisible by both 5 and 2 because 10 is divisible by 5 and 2. It cannot be any other number other than the ones listed above because any other number is not divisible by 10.