Is 1512 divisible by 2,3,4,5,6,9,10

Solution:
1. To check divisibility, we must see if 1512 can be divided by each of the given numbers without leaving a remainder.

2. Divisibility by 2:
- A number is divisible by 2 if its last digit is even.
- 1512 has a last digit 2, which is even.

3. Divisibility by 3:
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- Sum of the digits: 1 + 5 + 1 + 2 = 9, which is divisible by 3.

4. Divisibility by 4:
- A number is divisible by 4 if the last two digits form a number divisible by 4.
- The last two digits of 1512 are 12, which is divisible by 4.

5. Divisibility by 5:
- A number is divisible by 5 if its last digit is 0 or 5.
- 1512 has a last digit of 2, which does not meet this criterion.

6. Divisibility by 6:
- A number is divisible by 6 if it is divisible by both 2 and 3.
- As verified earlier, 1512 is divisible by both 2 and 3.

7. Divisibility by 9:
- A number is divisible by 9 if the sum of its digits is divisible by 9.
- Sum of the digits: 1 + 5 + 1 + 2 = 9, which is divisible by 9.

8. Divisibility by 10:
- A number is divisible by 10 if its last digit is 0.
- 1512 has a last digit of 2, which does not meet this criterion.

Answer:
1. 1512 is divisible by: 2, 3, 4, 6, 9.
2. 1512 is not divisible by: 5, 10.