लेखक
ॐ जितेन्द्र सिंह तोमर
M.A., B.Ed., DNYS, MASSCOM
10/7/28/11/2021
05.05 वैदिक गणित (05) || भाग || 4 व 8 की विभाज्यता के नियम
Division:
DIVISIBILITY BY 4
By Viloknam Method
Look at the following Series 4, 8, 12, 16, 20, 24, 28, 32,.....
* If last 2 digits (tens and unit) of a number is divisible by 4, then 4 will divide the whole number completely.
* If the number has doublezero at last (in place of tens and unit), then 4 will divide the whole number completely.
Exercise 01
Find which of the following are divisible for not by 4.
01) 126
02) 548
03) 352
04) 606
05) 840
06) 770
07) 100
08) 755
09) 2112
10) 12482
11) 13500
12) 3108
13) 1422
14) 4135
15) 2654
16) 6000
17) 5872
18) 85912
19) 128524
20) 2157036
21) 7512832
22) 1234560
23) 12345672
24) 123456754
25) 1234567890
Sol. 01)
The last 2 digits of 126 is 26 (tens and unit), which is not divisible by 4. So that the number will not divide by 4.
Sol. 02)
The last 2 digits of 548 is 48 (tens and unit), which is divisible by 4. So that the number will divide by 4.
Sol. 21)
The last 2 digits of 7512832 is 32 (tens and unit), which is divisible by 4. So that the number will divide by 4.
Sol. 25)
The last 2 digits of 1234567890 is 90 (tens and unit), which is not divisible by 4. So that the number will not divide by 4.
DIVISIBILITY BY 8
By Viloknam Method
Look at the following Series 8, 16, 24, 32,.....
* If last 3 digits (Hundred-ten-unit) of a number is divisible by 8, then 8 will divide the whole number completely.
* If the number has triple zero at last (in place of Hundred-ten-unit), then 8 will divide the whole number completely.
Exercise 02
Find which of the following are divisible for not by 8.
01) 126
02) 548
03) 352
04) 6068
05) 8402
06) 7708
07) 1004
08) 7553
09) 212000
10) 124827
11) 135000
12) 310856
13) 1422408
14) 4135416
15) 26543526
16) 61465000
17) 58726256
18) 85912672
19) 12852456
20) 215703648
21) 7512832512
22) 1234560808
23) 12345672888
24) 123456754800
25) 123456789064
Sol. 01)
The last 3 digits of 126 is 126 (Hundred-ten-unit), which is not divisible by 4. So that the number will not divide by 4.
Check
8) 1 2 6 (10
8 ↓
6
Sol. 09)
The last 3 digits of 212000 is 000 (Hundred-ten-unit), which is not divisible by 8. So that the number will not divide by 8.
Check
8) 2 1 2 0 0 0 (2 2 5 0
1 6 ↓ ↓ ↓
2 0 ↓ ↓
1 6 ↓ ↓
4 0 ↓
4 0 ↓
0
Sol. 21)
The last 2 digits of 7512832 is 32 (tens and unit), which is divisible by 8. So that the number will divide by 8.
Sol. 25)
The last 2 digits of 1234567890 is 90 (tens and unit), which is not divisible by 8. So that the number will not divide by 8.
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