To determine if 12848 is divisible by the numbers 3, 4, 5, 6, 8, 9, and 10, we will check each number individually.
1. Divisibility by 3:
A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 12848 is 1 + 2 + 8 + 4 + 8 = 23.
Since 23 is not divisible by 3, 12848 is not divisible by 3.
2. Divisibility by 4:
A number is divisible by 4 if the number formed by its last two digits is divisible by 4. The last two digits of 12848 are 48.
Since 48 is divisible by 4, 12848 is divisible by 4.
3. Divisibility by 5:
A number is divisible by 5 if its last digit is either 0 or 5. The last digit of 12848 is 8.
Since the last digit is not 0 or 5, 12848 is not divisible by 5.
4. Divisibility by 6:
A number is divisible by 6 if it is divisible by both 2 and 3. We already saw that 12848 is not divisible by 3.
Therefore, 12848 is not divisible by 6.
5. Divisibility by 8:
A number is divisible by 8 if the number formed by its last three digits is divisible by 8. The last three digits of 12848 are 848.
Since 848 is divisible by 8, 12848 is divisible by 8.
6. Divisibility by 9:
A number is divisible by 9 if the sum of its digits is divisible by 9. We've already summed the digits: 1 + 2 + 8 + 4 + 8 = 23.
Since 23 is not divisible by 9, 12848 is not divisible by 9.
7. Divisibility by 10:
A number is divisible by 10 if its last digit is 0. The last digit of 12848 is 8.
Since the last digit is not 0, 12848 is not divisible by 10.
To summarize:
12848 is divisible by: 4 and 8.
