Which of the following numbers is NOT divisible by 16?

Concept used:

Divisibility rule of 16:

A number is divisible by 16 if it's divisible by both 2 and 8.

Concept Used:

Divisibility Rule of 2:

If a number is even or a number whose last digit is an even number

i.e. 2,4,6,8 including 0, is always completely divisible by 2.

Divisibility by 8 rule,

If the last three numbers are zero or divisible by 8,

the whole number is divisible by 8.

Calculation:

A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8),

and by 8 if the number formed by the last three digits of the given number is divisible by 8.

16826: last digit is 6 (even) divisible by 2;

⇒ last three digits form 826 ⇒ not divisible by 8.

17776: last digit is 6 (even) divisible by 2;

⇒ last three digits form 776 ⇒ divisible by 8.

5168: last digit is 8 (even) divisible by 2;

⇒ last three digits form 168 ⇒ divisible by 8.

18016: last digit is 6 (even) divisible by 2;

⇒ last three digits form 016 ⇒ divisible by 8.

Therefore, the number 16826 is NOT divisible by 16.