If the number is divisible by 9 the sum of its digits (its digital root) must be divisible by 9.
5+6+8+9 = 28
The next multiple of 9 is 36 and that is 8 more. So the missing digit must be 8.
2, 5 or 8.
shut up and do something better with your life
No single digit determines divisibility by 3.
A solution.
342 is divisible by 6 and not 5.Numbers divisible by 5 end in zeros or fivesNumbers divisible by 6 have a slightly more complicated rule. If, when the individual digits are added together and they make a multiple of 3, see if the number is even. If so, and the digits add up to a multiple of 3, then the number is a divisible by 6.
2, 5 or 8.
0.
shut up and do something better with your life
I don't completely understand the question, but there's a trick: A number is divisible by 3 if and only if the sum of its digits is divisible by 3. This should guide you to an answer.
No single digit determines divisibility by 3.
A solution.
In mathematical logic, An integer A if divisible by 100 iff the last two digits are 0. "iff" stands for "if and only if".
To determine what number makes 371 divisible by 3, we need to sum the digits of 371: 3 + 7 + 1 = 11. To be divisible by 3, the sum of the digits must also be divisible by 3. Since 11 is not divisible by 3, we need to find the number that, when added to 11, results in a sum divisible by 3. The next multiple of 3 greater than 11 is 12, so the number that makes 371 divisible by 3 is 1.
The 5 should be deleted.
342 is divisible by 6 and not 5.Numbers divisible by 5 end in zeros or fivesNumbers divisible by 6 have a slightly more complicated rule. If, when the individual digits are added together and they make a multiple of 3, see if the number is even. If so, and the digits add up to a multiple of 3, then the number is a divisible by 6.
6
To determine if 1728 is divisible by 6, we need to check if the sum of its digits is divisible by 3 and if it is an even number. The sum of the digits of 1728 is 1+7+2+8=18, which is divisible by 3. Additionally, the last digit of 1728 is 8, which is an even number. Therefore, 1728 is divisible by 6.