Explanation:

Let’s check divisibility for each single-digit number:

- 1: Every number is divisible by 1.

- 2: 30744 ends with 4, an even number—so divisible by 2.

- 3: Sum of digits = 3+0+7+4+4=18; 18 is divisible by 3—so it works.

- 4: Last two digits are 44; 44/4 = 11; so it’s divisible by 4.

- 5: Number doesn’t end with 0 or 5, so not divisible by 5.

- 6: Divisible by both 2 and 3, so yes.

- 7: 30744/7 = 4392; no remainder, so it’s divisible by 7.

- 8: Last three digits, 744. 744/8 = 93, so divisible.

- 9: Sum of digits is 18; 18/9=2, so divisible by 9.

So, 30744 is divisible by every single-digit number except 5.

- Option 1: Only by 2, 3, 6, 9 (misses 1, 4, 7, 8)

- Option 2: All numbers except 5 and 7 (7 actually divides evenly)

- Option 3: All numbers except 5

- Option 4: Only by 2, 3, and 6 (misses several others)

Option 3 is the correct answer!