Question
Download Solution PDFWhich of the following numbers is NOT divisible by 16?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept 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.
Last updated on Jul 8, 2025
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