the number 3456 is divisible by wich single/diget numbers
Since the factors of 3456 are composed of powers of 2 and 3, you could factorize the number and find out which factors are single-digit numbers. Factors are numbers that divide evenly the number 3456.
To determine whether a number is divisible by a single-digit number, you need to check if the number can be evenly divided by that single-digit number without leaving a remainder.
For the number 3456, you can check its divisibility by the single-digit numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) using the following steps:
1. Divisible by 1: All numbers are divisible by 1, so 3456 is divisible by 1.
2. Divisible by 2: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, 8). The last digit of 3456 is 6, which is even, so 3456 is divisible by 2.
3. Divisible by 3: The sum of the digits of a number should be divisible by 3 in order for the number itself to be divisible by 3. Adding the digits of 3456 (3 + 4 + 5 + 6) gives a sum of 18, which is divisible by 3. Therefore, 3456 is divisible by 3.
4. Divisible by 4: A number is divisible by 4 if the last two digits form a number divisible by 4. The last two digits of 3456 are 56, which is divisible by 4. Thus, 3456 is divisible by 4.
5. Divisible by 5: A number is divisible by 5 if its last digit is 0 or 5. The last digit of 3456 is 6, which is not 0 or 5. Therefore, 3456 is not divisible by 5.
6. Divisible by 6: A number is divisible by 6 if it is divisible by both 2 and 3. Since we have already established that 3456 is divisible by 2 and 3, it is divisible by 6.
7. Divisible by 7: There is no simple divisibility rule for 7 like for the other single-digit numbers. To determine whether 3456 is divisible by 7, you can use long division or a calculator. Upon dividing 3456 by 7, you will find that it is not divisible by 7, as it yields a remainder.
8. Divisible by 8: A number is divisible by 8 if the last three digits form a number divisible by 8. The last three digits of 3456 are 456, which is not divisible by 8. Hence, 3456 is not divisible by 8.
9. Divisible by 9: Similar to dividing by 3, the sum of the digits of a number should be divisible by 9 in order for the number itself to be divisible by 9. The sum of the digits of 3456 is 18, which is divisible by 9. Therefore, 3456 is divisible by 9.
Based on these steps, the single-digit numbers that 3456 is divisible by are 1, 2, 3, 4, 6, and 9.