The number 1254216 is divisible by which of the following numbers?
- A8
- B11
- C5
- D16
Solution & Step-by-step Explanation
Let's test the given options for the number 1254216:
Option A: Divisibility by 8
A number is divisible by 8 if its last three digits form a number divisible by 8.
Last 3 digits: 216
8
216
=27 (exactly divisible)
Therefore, the number is divisible by 8.
Option C: Divisibility by 5
The last digit must be 0 or 5. Here it is 6, so not divisible by 5.
Option B: Divisibility by 11
Sum of digits at odd places: 6+2+5+1=14
Sum of digits at even places: 1+4+2=7
Difference: 14−7=7 (not divisible by 11)
Option D: Divisibility by 16
Last four digits: 4216
16
4216
=263.5 (not fully divisible)
Option A: Divisibility by 8
A number is divisible by 8 if its last three digits form a number divisible by 8.
Last 3 digits: 216
8
216
=27 (exactly divisible)
Therefore, the number is divisible by 8.
Option C: Divisibility by 5
The last digit must be 0 or 5. Here it is 6, so not divisible by 5.
Option B: Divisibility by 11
Sum of digits at odd places: 6+2+5+1=14
Sum of digits at even places: 1+4+2=7
Difference: 14−7=7 (not divisible by 11)
Option D: Divisibility by 16
Last four digits: 4216
16
4216
=263.5 (not fully divisible)