For a three digit number, the number in the hundreds is 3 more than the smallest even number, and the number in the tens has only one factor. This three digit number is a common multiple of 2 and 5. What is it

For a three digit number, the number in the hundreds is 3 more than the smallest even number, and the number in the tens has only one factor. This three digit number is a common multiple of 2 and 5. What is it

The number on the hundred is 3 more than the smallest even number,
The number of hundreds is 0 + 3 = 3
There is only one factor for a number on the tenth,
The ten digit number is one
This three digit number is a common multiple of two and five
The number is 310