To determine if 64,916 is divisible by a certain number, we need to check if it leaves a remainder of 0 when divided by that number.
1. Divisible by 2: A number is divisible by 2 if its last digit is even. The last digit of 64,916 is 6, which is even. Therefore, 64,916 is divisible by 2.
2. Divisible by 3: To check if a number is divisible by 3, we need to sum its digits and see if the result is divisible by 3.
6 + 4 + 9 + 1 + 6 = 26
26 is not divisible by 3, so 64,916 is not divisible by 3.
3. Divisible 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 64,916 are 16, which is divisible by 4. Therefore, 64,916 is divisible by 4.
4. Divisible by 5: A number is divisible by 5 if its last digit is 0 or 5. The last digit of 64,916 is 6, which is not 0 or 5. Therefore, 64,916 is not divisible by 5.
5. Divisible by 6: A number is divisible by 6 if it is divisible by both 2 and 3. We have already determined that 64,916 is divisible by 2 but not by 3. Therefore, 64,916 is not divisible by 6.
6. Divisible 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 64,916 are 916, which is not divisible by 8. Therefore, 64,916 is not divisible by 8.
7. Divisible by 9: To check if a number is divisible by 9, we need to sum its digits and see if the result is divisible by 9.
6 + 4 + 9 + 1 + 6 = 26
26 is not divisible by 9, so 64,916 is not divisible by 9.
8. Divisible by 10: A number is divisible by 10 if its last digit is 0. The last digit of 64,916 is 6, which is not 0. Therefore, 64,916 is not divisible by 10.
In conclusion, 64,916 is divisible by 2, 4, but not by 3, 5, 6, 8, 9, or 10.