On divisibility by 27

Shirali, Shailesh (2018) On divisibility by 27. At Right Angles, 7 (1). pp. 62-65.

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Abstract

Notation. We denote the sum of the digits of a positive integer n by SD(n). The notation a | b means: ‘a is a divisor of b’, i.e., ‘b is a multiple of a.’ Throughout, we work in base 10. Two well-known statements. The following two statements are very well-known: (1)A positive integer n is divisible by 3 if and only if SD(n) is divisible by 3. (2)A positive integer n is divisible by 9 if and only if SD(n) is divisible by 9.

Item Type:	Articles in APF Magazines
Authors:	Shirali, Shailesh
Document Language:	Language English
Uncontrolled Keywords:	Divisibility by 3, divisibility by 9, divisibility by 27
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1321
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