11. Which of the following statements is false?
A 12 is a multiple of 2
B 123 is a multiple of 3
C 1234 is a multiple of 4
D 12345 is a multiple of 5
E 123456 is a multiple of 6
11. C A number is divisible by 4 if and only if its last two digits are divisible by 4 . Since 34 is not divisible by 4 , we deduce that 1234 is not a multiple of 4 . Of the other options, 12 is even and so is a multiple of 2; the sum of the digits of 123 is 6 , which is a multiple of 3 , so 123 is a multiple of $3 ; 12345$ has a units digit of 5 and so is a multiple of 5 . Finally, 123456 is even and has a digit sum of 21 , a multiple of 3 . So 123456 is a multiple of 2 and of 3 and is therefore a multiple of 6 .