Mystery Digit

If a number is a a multiple of 6, then it is a multiple of 2 and 3.

If $2345678 \square$ is a multiple of 2, then the last digit is even which means that $\square$ must be either 0, 2, 4, 6 or 8.

If $2345678 \square$ is a multiple of 3, then the sum of the digits is a multiple of 3, or that $35+\square$ is a multiple of 3. Thus, $\square$ must be either 1, 4 or 7.

The only number that appears in both cases is 4. Thus $\square = 4$ .

the last two digits placed together to make a two digit number in this case: 82 or 84 or 86 or 88 must be a multiple of 6. So for the large number of 2345678# the number must have 84 as the last two digits since 84/6 is=14 (6x10=60 and 6x4=24; 60+24=84)

long division 4 times

Let 2345678 □ = 23456780 + x

6 - (23456780 modulo 6) = x

6 - 2 = x

4 = x

numbers come in patterns.ignore everything but 8[]. Find n * 6=~80. 14 * 6=84, therefore 4. i had a longer answer but why complicate things.

By divisibility rule.. Let take prime factor 6 that is 2 and 3 if the number is divided by these 2 number it's also divisible by 6.

Now just check divisible rule of 2 : last digit is even number so it's 4 divided by 2 hence it is divisible by 2 now

Divisible rule of 3 (sum of all digits divisible by 3) 2+3+4+5+6+7+8+4 = 39 (divisible by 3)

Hence the number is also divisible by 6 so 4 is our answer.

Taking 8 divisable by 6 we get 2 as remainder,now 24 is divisible by 6 so answer is 4

2345678?

2345678÷6=390946, r=2

since 24 is divisible by 6 therefore the last digit is 4

So the number is 23456784

if a number is divisible by 6,it is even and divisible by 3. here 2+3+4+5+6+7+8=35. thus in this situation we need to find a number divisible by 3 when it has 35 taken away it is even and also is near to 35. In this case it is 39,then 39-35=4 hence the answer is 4.

If $2345678\square$ divisible by 6 then it can divisible by 2:which is $0,2,4,6,8$ & dividible by 3 which is $35+\square$ .The only solution is $\boxed{\large{4}}$

The number is divisible by 6 if it is divisible by both 2 and 3. Thu sum of digits is: 2+3+4+5+6+7+8=35. The sum of all digits must be divisible by 3 and only 35+4=39 is divisible by 3 ( 35+8=43, 35+6=41, 35+2=37 ).

For a number to be divisible by 6, it must be divisible by both 2 and 3. We add the digits up to the mystery digit and get 35. So, we have to add 4 (the mystery digit) so that the number is divisible by both 2 and 3.

The number must be even. If the solution was 0, there would be another solution: 6. If the solution was 2, there would be another solution: 8. Since there is always a unique solution to these questions, the answer is 4. You don't need to sum the digits.

I just divided 2345678 by 6 had a reminder of 2 and knew 24 is the only # divisible by 6 so answer is 4. Why over complicate things.

O número final é 8. Diminuindo 6 resta 2. O número quatro no final é o único que dá o número 24 que é divisível por 6

All you have to is choose an answer that will make the final two digits divisible by 6. Thus making the whole number divisible by 6. So out of the choices the only possible answer is 4.

For a number to be divisible by 2, the number must be even, to be divisible by 3 the sum of the digits must be divisible by 3...therefore, if you add the numbers together, you get 35, thus leaving 4 as the right answer

We know that if the last two digits of the number are divisible by 6 then then it is a multiple of 6. Since 84 in 80s is the only divisible by 6, so it's divisible by 6.