Divisibility ಅನ್ನು ಹೇಗೆ ಲೆಕ್ಕ ಹಾಕುವುದು
Divisibility ಎಂದರೇನು?
Divisibility rules are shortcuts to determine whether one number is divisible by another without performing full division. They're used in mental arithmetic, number theory, and primality testing.
ಸೂತ್ರ
Various rules: ÷2 (even), ÷3 (digit sum), ÷5 (ends 0 or 5), ÷9 (digit sum), etc.
- n
- the number being tested
- d
- the divisor (2, 3, 5, 7, 11, etc.)
ಹಂತ-ಹಂತದ ಮಾರ್ಗದರ್ಶಿ
- 1÷2: last digit even
- 2÷3: sum of digits divisible by 3
- 3÷4: last two digits form number divisible by 4
- 4÷5: last digit is 0 or 5
- 5÷9: sum of digits divisible by 9
Worked Examples
ಇನ್ಪುಟ್
360
ಫಲಿತಾಂಶ
Divisible by 2,3,4,5,6,8,9,10,12
ಇನ್ಪುಟ್
1001
ಫಲಿತಾಂಶ
Divisible by 7 and 11 (and 13)
Frequently Asked Questions
What is the divisibility rule for 7?
One method: remove the last digit, double it, and subtract from the remaining number. Repeat until a known multiple.
What is the divisibility rule for 11?
Alternately subtract and add digits from right to left. If the result is divisible by 11, so is the original.
Are divisibility rules faster than actual division?
Yes, for quick mental checks. But for programming, direct modulo might be faster.
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