Hello friends, mathsmell maths tricks in hindi me apka swagat hai.
Mathematics hum sabhi ke liye easy nahi hote hai,lekin kabhi kabhi short tricks ki help se math problem ko bahut he fast and easily solve kar sakte hai.Divisibility rules iski ek good example hai.
Sabse pehle hum jannege divisibility hote kya hai . Divisibility rules ki help se hume pata chalte hai ki ek number dusre ek number se completely divisible hoga ya nahi. Hum sab jante hai ek number ko dusre koi number se hamesa completely divisible nahi hote hai.
Division nahi karke hum kisi bhi numbers ki divisor nikal sakte hai divisibility rules ki help se.
Divisibility by 1: Sabhi numbers ko 1 se divide kar sakte hai. 1 ke liye divisibility ke koi particular condition nahi hai.
Example: 3, 5, 6..... etc. sabhi numbers ko 1 se divide kar sakte hai.
Divisibility by 2: Agar kisi numbers ki unit digit 0 or even hua to bho nimbers 2 se completely divisible hoga.
For example: 10,12 ,24,134 .. etc number 2 se completely divisible hoga.
Divisibility by 3: Agar kisi numbers ki sabhi digit ki sum 3 se divisible hua to bho numbers bhi 3 se completely divisible hogi.
For example: 123 : 1+2+3= 6 is divisible by 3, then the number is also divisible by 3 .
Divisibility by 4: Agar kisi number ki last two digit 0 hai or 4 se divide hua to bho number 4 se completely divisible hogi.
For example: 100, 7324 etc. are divisible by 4 kyunki 1st number ki last two digit 0 hai and 2nd number ki last two digit 4 se divide hoga.
Divisibility by 5: Agar kisi numbers ki last digit 0 or 5 hua to bho numbers 5 se divisible hogi.
For example: 20, 25, 325, 3775 etc are completely divisible by 5.
Divisibility by 6: Agar koi number 2 and 3 se divide hua to bho numbers 6 se divide hoga.
For example 12, 18, 7926 etc. divisible by 6 kyunki sabhi numbers 2 and 3 se divide hogi.
Divisibility by 7: Given number 7 se completely divisible hoga agar given numbers ki last digit ko 2 se gunna karke baki digit se subtracts karne ki baad jo number milegi bho number agar 0 or 7 ki multiplier hua.
For example : 658 is divisible by 7, because
First last digit ko 2 gunna karo =8*2= 16
Second Baki digit 65 se 16 substract kare
( 65 - 16) = 49 is divisibe 7, then 658 is also divisible by 7.
Divisibility by 8: Agar kisi numbers ki last three digits 0 hai or 8 se divisible hote hain to bho numbers bhi 8 se divisible hogi,
For example: 29000, 17648 etc. are divisible by 8
Divisibility by 9: 3 aur 9 ki divisibility rules same hai.Agar kisi numbers ki digit o ki sum 9 se divisible hua to bho numbers bhi 9 se divisible hogi.
For example: 1764, 39681 etc .are divisible by 9 kyunki inn sabhi numbers ki digit o ki sum 9 se divide hote hai.
Divisibility by 10: Agar kisi numbers ki unit digit zero (0) hai, to bho number 10 se completely divisible hogi.
For Example: 10, 100, 200 etc. are divisible by 10
Divisibility by 11: Koi bhi numbers 11 se divisible hogi, agar numbers ki even and odd place digit o ki sum ki substraction 0 or 11 ki multiplierhogi.
For Example: 393052 is divisible by 11.
kyunki Sum of even place digits = 5 + 3 +3 = 11 and Sum of odd place digits = 2 + 0 + 9 = 11.
Here we see that sum of odd place digits and sum of even place digit are equal ,then the number 393052 is divisible by 11.
Divisibility by 12: Agar koi number 3 and 4 se se divisible hai to bho number 12 se bhi divisible hoga.
For examples: 12, 24, 36....are divisible by 12.
Divisibility by 14 : Agar koi number 2 and 7 se bivajjya hai to bho number 14 se bhi bivajya hogi.
Divisibility by 15: Agar koi number 3 and 5 se bivajjya hai to bho number 15 se bhi bivajya hogi.
Divisibility by 25: Agar kisi number ki last two digit 00, 25, 50, 75 hai to bho number 25 se divisible hogi.
Divisibility by 125: Koi bhi number 125 se bivajya hogi,sgar uss numbers ki last three digit 125 se bivajya hai.
For examples: 25000, 1240125 are divisible by 125.
I hope divisibility rulesfor 1, 2, ,3, 4, 5,6,7,8,9,10, 11,12,14,15,25,125 post apko acha laga hoga agar to iss post ko apne dosto ki sath share jarur kare.
Mathematics hum sabhi ke liye easy nahi hote hai,lekin kabhi kabhi short tricks ki help se math problem ko bahut he fast and easily solve kar sakte hai.Divisibility rules iski ek good example hai.
Sabse pehle hum jannege divisibility hote kya hai . Divisibility rules ki help se hume pata chalte hai ki ek number dusre ek number se completely divisible hoga ya nahi. Hum sab jante hai ek number ko dusre koi number se hamesa completely divisible nahi hote hai.
Division nahi karke hum kisi bhi numbers ki divisor nikal sakte hai divisibility rules ki help se.
Rules for Divisibility:
To dekte hai one by one numbers ki divisibility rules :Divisibility by 1: Sabhi numbers ko 1 se divide kar sakte hai. 1 ke liye divisibility ke koi particular condition nahi hai.
Example: 3, 5, 6..... etc. sabhi numbers ko 1 se divide kar sakte hai.
Divisibility by 2: Agar kisi numbers ki unit digit 0 or even hua to bho nimbers 2 se completely divisible hoga.
For example: 10,12 ,24,134 .. etc number 2 se completely divisible hoga.
Divisibility by 3: Agar kisi numbers ki sabhi digit ki sum 3 se divisible hua to bho numbers bhi 3 se completely divisible hogi.
For example: 123 : 1+2+3= 6 is divisible by 3, then the number is also divisible by 3 .
Divisibility by 4: Agar kisi number ki last two digit 0 hai or 4 se divide hua to bho number 4 se completely divisible hogi.
For example: 100, 7324 etc. are divisible by 4 kyunki 1st number ki last two digit 0 hai and 2nd number ki last two digit 4 se divide hoga.
Divisibility by 5: Agar kisi numbers ki last digit 0 or 5 hua to bho numbers 5 se divisible hogi.
For example: 20, 25, 325, 3775 etc are completely divisible by 5.
Divisibility by 6: Agar koi number 2 and 3 se divide hua to bho numbers 6 se divide hoga.
For example 12, 18, 7926 etc. divisible by 6 kyunki sabhi numbers 2 and 3 se divide hogi.
Divisibility by 7: Given number 7 se completely divisible hoga agar given numbers ki last digit ko 2 se gunna karke baki digit se subtracts karne ki baad jo number milegi bho number agar 0 or 7 ki multiplier hua.
For example : 658 is divisible by 7, because
First last digit ko 2 gunna karo =8*2= 16
Second Baki digit 65 se 16 substract kare
( 65 - 16) = 49 is divisibe 7, then 658 is also divisible by 7.
Divisibility by 8: Agar kisi numbers ki last three digits 0 hai or 8 se divisible hote hain to bho numbers bhi 8 se divisible hogi,
For example: 29000, 17648 etc. are divisible by 8
Divisibility by 9: 3 aur 9 ki divisibility rules same hai.Agar kisi numbers ki digit o ki sum 9 se divisible hua to bho numbers bhi 9 se divisible hogi.
For example: 1764, 39681 etc .are divisible by 9 kyunki inn sabhi numbers ki digit o ki sum 9 se divide hote hai.
Divisibility by 10: Agar kisi numbers ki unit digit zero (0) hai, to bho number 10 se completely divisible hogi.
For Example: 10, 100, 200 etc. are divisible by 10
Divisibility by 11: Koi bhi numbers 11 se divisible hogi, agar numbers ki even and odd place digit o ki sum ki substraction 0 or 11 ki multiplierhogi.
For Example: 393052 is divisible by 11.
kyunki Sum of even place digits = 5 + 3 +3 = 11 and Sum of odd place digits = 2 + 0 + 9 = 11.
Here we see that sum of odd place digits and sum of even place digit are equal ,then the number 393052 is divisible by 11.
Divisibility by 12: Agar koi number 3 and 4 se se divisible hai to bho number 12 se bhi divisible hoga.
For examples: 12, 24, 36....are divisible by 12.
Divisibility by 14 : Agar koi number 2 and 7 se bivajjya hai to bho number 14 se bhi bivajya hogi.
Divisibility by 15: Agar koi number 3 and 5 se bivajjya hai to bho number 15 se bhi bivajya hogi.
Divisibility by 25: Agar kisi number ki last two digit 00, 25, 50, 75 hai to bho number 25 se divisible hogi.
Divisibility by 125: Koi bhi number 125 se bivajya hogi,sgar uss numbers ki last three digit 125 se bivajya hai.
For examples: 25000, 1240125 are divisible by 125.
I hope divisibility rulesfor 1, 2, ,3, 4, 5,6,7,8,9,10, 11,12,14,15,25,125 post apko acha laga hoga agar to iss post ko apne dosto ki sath share jarur kare.
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