which of the following numbers is divisible by 6 1372,3915,2412,3424

Question

ScanSolve AI Tutor · Accepted Answer

To determine if a number is divisible by 6, it must satisfy two conditions:

Let's check each number:

Check 1372
- Divisibility by 2: The number 1372 ends in 2, so it is even and divisible by 2.
- Divisibility by 3: The sum of its digits is $1 + 3 + 7 + 2 = 13$ . Since 13 is not divisible by 3, 1372 is not divisible by 3.
- Conclusion: 1372 is not divisible by 6.
Check 3915
- Divisibility by 2: The number 3915 ends in 5, so it is an odd number and not divisible by 2.
- Conclusion: 3915 is not divisible by 6.
Check 2412
- Divisibility by 2: The number 2412 ends in 2, so it is even and divisible by 2.
- Divisibility by 3: The sum of its digits is $2 + 4 + 1 + 2 = 9$ . Since 9 is divisible by 3, 2412 is divisible by 3.
- Conclusion: Since 2412 is divisible by both 2 and 3, it is divisible by 6.
Check 3424
- Divisibility by 2: The number 3424 ends in 4, so it is even and divisible by 2.
- Divisibility by 3: The sum of its digits is $3 + 4 + 2 + 4 = 13$ . Since 13 is not divisible by 3, 3424 is not divisible by 3.
- Conclusion: 3424 is not divisible by 6.
The only number divisible by 6 is:
$2412$

Which of the following numbers is divisible by 6 1372,3915,2412,3424