लेखक
ॐ जितेन्द्र सिंह तोमर
M.A., B.Ed., DNYS, MASSCOM
10/7/28/11/2021
05.04 वैदिक गणित (04) || भाग || 6 की विभाज्यता के नियम
Division:
DIVISIBILITY BY 6
(i) By Digital Sum Method
Look the series 6, 12, 18, 24, 30, ........
* These all have even & 0 number in unit place so that these are divisible by 2.
* The digital sum of the number is 6, 3, 9, 6, 3 respectively so that these are divisible by 2.
* Thus it pass the test for both 2 and 3 so that these numbers will be divisible by 2 and 3 both and numbers are divisible by 6.
Exercise 01
Find which of the following are divisible for not by 6.
01) 27
02) 54
03) 35
04) 60
05) 84
06) 77
07) 10
08) 75
09) 211
10) 124
11) 135
12) 310
13) 142
14) 413
15) 265
16) 600
17) 587
18) 859
19) 1285
20) 21570
21) 75128r
22) 123456
23) 1234567
24) 12345675
25) 1234567890
Sol. 01)
Test 01.
The digital sum of the number 27 is 2+7= 9, so that 27 is divisible by 3
Test 02.
The unit digit is 7 so that this is not divisible by 2.
Conclusion
* Thus it does not pass the test for both 2 and 3 so that these numbers will not be divisible by 6.
Sol. 02)
Test 01.
The digital sum of the number 54 is 5+4= 9, so that 54 is divisible by 3
Test 02
The unit digit of 54 is 4 so that 54 is divisible by 2.
Conclusion
* Thus the number 54 pass the test for both 2 and 3 so that 54 is divisible by 6.
Sol. 21)
Test 01.
The digital sum of the number [751284 is 7+5+1+2+8+4= 27= 2+7=9,] is 9 so that 751284 is divisible by 3.
Test 02
The unit digit of 751284 is 4 so that 751284 is divisible by 2.
Conclusion
* Thus the number 751284 pass the test for both 2 and 3 so that 751284 is divisible by 6.
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