Is 512 is divisible by 2, 3, 6 ?
Quick divisibility tests:
- number is divisible by 2 if it ends in an even number, so 512 ends in 2
thus 512 is divisible by 2
- number is divisible by 3 if the sum of its digits is divisible by 3
thus 5+1+2 = 8. But 8 is not divisible by 3, so neither is 512
- number is divisible by 6 if it is divisible by both 2 AND 3, so ...... what do you think?
To determine if 512 is divisible by 2, 3, and 6, we should check if it is divisible separately by each of these numbers.
1. Divisibility by 2:
A number is divisible by 2 if the last digit is even (i.e., 0, 2, 4, 6, or 8). The last digit of 512 is 2, which is an even number, so it is divisible by 2.
2. Divisibility by 3:
To check for divisibility by 3, we need to sum all the digits of the number and see if the sum is divisible by 3. The sum of the digits of 512 is 5 + 1 + 2 = 8, which is not divisible by 3. Therefore, 512 is not divisible by 3.
3. Divisibility by 6:
A number is divisible by 6 if it is divisible by both 2 and 3. Since we have already established that 512 is divisible by 2 but not by 3, it is not divisible by 6.
In conclusion, 512 is only divisible by 2 but not by 3 or 6.
To determine if a number is divisible by another number, you need to check if the first number can be divided evenly by the second number.
Let's check if the number 512 is divisible by 2, 3, and 6.
To test divisibility by 2, you need to check if the number is even, meaning its last digit is divisible by 2. The last digit of 512 is 2, and since 2 is divisible by 2, we can conclude that 512 is divisible by 2.
To test divisibility by 3, you need to add up all the digits of the number and check if the sum is divisible by 3. The sum of the digits of 512 is 5 + 1 + 2 = 8. Since 8 is not divisible evenly by 3, we can conclude that 512 is not divisible by 3.
To test divisibility by 6, you need to check if the number is divisible by both 2 and 3. We have already determined that 512 is divisible by 2, but not divisible by 3. Therefore, we can conclude that 512 is not divisible by 6.
In summary, 512 is only divisible by 2, not by 3 or 6.