Is it Six?

In order to divisible by $6$ , I must find a number that's divisible by $2$ . Thus, the number must be even.

This gives the list: $992, 994, 996, 998$

And also, I must find a number that is divisible by $3$ :

$9+9+2=20$

$9+9+4=23$

$9+9+6=24$

$9+9+8=26$

You know $24$ is divisible by $3$ . Thus: $\boxed{996}$ is the correct answer. Then look at the picture above.

Since it's a multiple of 6, it must be divisible by both 2 and 3.

Multiples of 2 : 992, 994, 996, 998, 1000

Multiples of 3 : 993, 996, 999

So, the only possible answer is :

$\boxed{996}$

9+9+6=24 answer is 996

a number is divisible by 6 if it is divisible by 2 and 3

-divisible by 2 if it starts with 2, 4, 6, 8, and 0

-divisible by 3 if the sum of its digits is divisible by 3

assume the number is 99x where x = [2:9] 9+9+x should be divisible by 3, so x can be 0, 3, 6, and 9 and to be divisble by 2 we only have x = 6

996

For a number to be divisible by 6, it must be a multiple of both 2 and 3.

If the number is 99X, ( 9+9+X = 18+X) is divisible by 3 or X is divisible by 3(as 9+9 is already a multiple of three). So, X is a single digit, even multiple of three. So X is 6. And number is 996.

I just divided 6 into 991 and topped the remainder up till the last number was divisible by 6.

Multiple of six has last no or numbers multiple of six

991/6=165.66666667 => 165.66666667 -165 =0.666666667 => 0.666666667*6=1 => 991-1+6=996

For a number which is divisible by 6 and less than 1000

1000/6=166.6

So when multiple 166 to 6 we get number less than 1000

So answer is 166×6=996

I took a bit of a longer approach. I also was thinking I needed to know the number that when multiplied by 6 gave you a number in that range (as opposed to the number in that range).

So I knew 6 * 100 = 600. 6* 50 = 300. 6 * 16 = 96.

So I found it was 166 times 6 to give you a number in that range (996)