Which number is divisible by 3? 432 562 491 2. Which number is divisible by 6? 773 684 909 3. Which number is divisible by 9? 201 611 621 4. Which number is divisible by 3 and 6? 536 198 973 5. Which number is divisible by 3 and 9? 432 562 491
The Correct Answer and Explanation is:
- 432
- 684
- 621
- 198
- 432
Explanation:
To determine divisibility by 3, 6, and 9, we use simple math rules involving digits:
Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
- 432 → 4 + 3 + 2 = 9 → 9 ÷ 3 = 3 → divisible
- 562 → 5 + 6 + 2 = 13 → not divisible by 3
- 491 → 4 + 9 + 1 = 14 → not divisible by 3
So, 432 is divisible by 3.
Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.
- 773 → odd number → not divisible by 2 → not divisible by 6
- 684 → 6 + 8 + 4 = 18 → divisible by 3, and 684 is even → divisible by 2 → divisible by 6
- 909 → 9 + 0 + 9 = 18 → divisible by 3, but 909 is odd → not divisible by 2 → not divisible by 6
So, 684 is divisible by 6.
Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
- 201 → 2 + 0 + 1 = 3 → not divisible by 9
- 611 → 6 + 1 + 1 = 8 → not divisible by 9
- 621 → 6 + 2 + 1 = 9 → 9 ÷ 9 = 1 → divisible
So, 621 is divisible by 9.
Divisibility by 3 and 6: The number must satisfy rules for both 3 and 6 (so it must also be even).
- 536 → 5 + 3 + 6 = 14 → not divisible by 3
- 198 → 1 + 9 + 8 = 18 → divisible by 3, and 198 is even → divisible by 2 → divisible by 6
- 973 → 9 + 7 + 3 = 19 → not divisible by 3
So, 198 is divisible by both 3 and 6.
Divisibility by 3 and 9: The number must satisfy both rules (sum of digits divisible by 9).
- 432 → 4 + 3 + 2 = 9 → divisible by 3 and 9
- 562 → 5 + 6 + 2 = 13 → not divisible
- 491 → 4 + 9 + 1 = 14 → not divisible
So, 432 is divisible by both 3 and 9.
