Find Divisibility Rule of Any Number in Seconds | Divisibility Rules

Divisibility Rules or Divisibility Tests were developed in order to make the division process simple and quicker, such that if we have to check whether a number is divisible by some other number, using these rules we can check the same without the long division method. These divisibility rules save us a lot of time either in finding factors using prime factorization or doing calculations in competitive or academic examinations
Divisibility Rule of 1:
As all the numbers are divisible by 1 so it doesn’t need any test to determine that. Any number k can be written as k×1, thus we can divide k by 1 and still have k left. For example, if 2341 is divided by 1, we have 2341 as the quotient and 0 as the remainder.
Divisibility Rule of 2:
A number is divisible by 2 if the last digit of the number is any of the following digits 0, 2, 4, 6, 8. The numbers with the last digits 0, 2, 4, 6, and 8 are called even numbers.
Example: 2580, 4564, 90032 etc. are divisible by 2.
Divisibility Rule of 3:
A number is divisible by 3 if the sum of its digits is divisible by 3.
Example: 90453 (9 + 0 + 4 +5 + 3 = 21) 21 is divisible by 3. 21 = 3 × 7. Therefore, 90453 is also divisible by 3.
Divisibility Rule of 4:
A number is divisible by 4 if the last two digits are divisible by 4.
Example: 456832960, here the last two digits are 60 that are divisible by 4 i.e.15 × 4 = 60. Therefore, the total number is divisible by 4.
Divisibility Rule of 5:
A number is divisible by five if the last digit of that number is either 0 or 5
Divisibility Rule of 6:
A number is divisible by 6 if it is divisible by both 2 and 3.
Example: 10008, have 8 at one’s place so is divisible by 2 and the sum of 1, 0, 0, 0 and 8 gives the total 9 which is divisible by 3. Therefore, 10008 is divisible by 6.
Divisibility Rule of 7:
Following are the steps to check the divisibility rule for 7,
Take the last digit and then double the last digit.
Subtract the result from the remaining number.
If the number is 0 or a multiple of 7, then the original number is divisible by 7. Else, it is not divisible by 7.
Divisibility Rule of 11:
To check the divisibility rule for 11, if the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11 completely.
Example: Consider a number to test the divisibility with 11, 264482240 mark the even place values and odd place values. Sum up the digits in even place values together and sum up the digits in odd place values together.
Digits
Place Value
2
0
6
1
4
2
4
3
8
4
2
5
2
6
4
7
0
8
Now sum up the digits in even place values i.e., 0th + 2th + 4th + 6th + 8th = 2 + 4 + 8 + 2 + 0 = 14. To add up the digits in odd place values i.e., 1th+ 3th + 5th + 7th = 6 + 4 + 2 + 4 = 14
Now calculate the difference between the sum of digits in even place values and the sum of digits in odd place values if the difference is divisible by 11 the complete number i.e., 264482240 is divisible by 11. Here the difference is 0, (14-14) which is divisible by 11. Therefore, 264482240 is divisible by 11.
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Chapters:
0:00 - Intro
0:48 - Divisibility Test of 13
1:25 - Example 1
2:22 - Divisibility Test of 19
2:47 - Example 2
3:57 - Outro
Editor: Parash Soni
Voice: Piyush Soni
Fair Use Copyright Disclaimer: This video is meant for educational purpose only and we do not claim rights over copyrighted media if any in this video, all the rights go to their respective owners.
Thanks you..

[@gulshan9213]

Sir don't take much time upload video because your trick are great and I wish your channel become millions subscribers channel ❤

[@letsderive]

I will try my best

[@pinkiguleriya9450]

​@@letsderivesir there are some pdf available online pls make videos on them.love your content

[@BhupinderSingh-wf9uh]

​@@letsderive Moo😅 p L

[@daniel-xt3tp]

@@letsderiveomg I just subscribed! Your ladder addition trick and subtraction trick caught my attention! ❤

[@codm___probutstillanoob3198]

Very nice trick 😁

[@simply7712]

Excellent Trick sir

[@ArunimaSahu-e2e]

Thank you❤

[@SM_ARTS13]

Thankyou so much sir for this trick

[@letsderive]

Most welcome

[@forstudyonly5231]

Sir this is very nice trick. I loved it but how can i apply it to a even number. For example: 12 According to your trick divisibility rule of 12 will be = 2x+1 But for any integer value of x, 2x+1 is not divisible by 12.

[@letsderive]

In this we need to put fraction value Put x=5.5 This will work 🙂

[@Riya-0107]

Sir but this process is very lengthy because first of all we have to find x value of number and then we have to put it in with the unit place of number and we have to do it with lots of numbers until we find the correct number So please tell us short technique for finding the correct divisible number which will help us to divide the number because we don't have much time in exam

[@amitkumarprajapat2777]

Sir √6 ko solve Karo by basic math please sir

[@randhirkumar8899]

This rule is only prime number, thanks 🙏 for making this channel ❤

[@letsderive]

No, it applies on other numbers too

[@randhirkumar8899]

How to solve 24, 15

[@darksideextras2335]

​@@randhirkumar8899bro kyuki ye divisible hai 2 se or 5 se to agar wo 24 ki table me aayega to uskki ending digit 2 se divisible hogi . Or agr 15 ki baat kare to wo 5 se divisible hoga or jo 15 se divisible hoga wo 5 se bhi hoga or 5 ka dividablty rule hota hai ending digit 0 or 5 .

[@STRONTIUM_Manush]

3:21 Vo hum hai 😅😅

[@adhikaribhukta8122]

Sir Is this the trick of vedic maths

[@hkm9047]

Nice trick

[@user-vm3ly8kl4n]

Bagwan jaldi hi abka 1 million subscribers kare de mane to apne ghar me sab ke phone se subscribe kar deya h ❤❤❤❤

[@himmatsingh2227]

Bhai 17 ka divisiblity rule nahi nikle raha

[@user-ns4bq3cc1t]

Niklega hni nehi

[@clashgaming2841]

Cause 17 is prime number

[@Amandeepsingh-jh3de]

Very useful and nice video sir❤❤❤

[@user-lx5uo1nm8k]

Good

[@jabbarahmadsanadi9069]

Cool trick... Very helpful..

[@letsderive]

Glad you liked it

[@ayoutubeuser01]

Op😮

[@dobgaming5946]

Sir sin 18 sin 15 sin etc. Iski video banaiye find krne wali

[@domabhutia2236]

Just open the calculator 😂😂😂😂

[@adarshvishwakarma7926]

Sir this is not applicable for all numbers pls recorect it for not in doubt

[@yogiadityanath8074]

Jo bhi log kah rhe hai ki even number ki trick de dijiye to unke liye hum bata de ki agar even puchh rha hai to unke factors se bhi pata kr sakte ho jaise ki agar puchh rha hai ki 12 se number divisible hai ki nhi to aap 3 or 4 ka divisibility rule laga sakte hai ya fir agar puchhta hai ki 52 se number katega ya nhi to check karo ki 4 / 13 dono se wo number divide hona chahiye or odd se divisibility rule check krne k liye to video diya hai hi inhone

[@rekhagiri5625]

kisi 4 ya 5 digit no. ko kase divide kare

[@RaghavendraRaghavendra-uk9nu]

😮

[@user-lx5uo1nm8k]

Kalayan open nikanna ka thi b

[@harharto9578]

6851,,,,,,,,,,,,

[@9936Prakhar]

7 ka divisibility rule

[@babushharijan]

Sir main bahut garib hu mujhe bhi number ka trick batana sir Aaj kya number ayega mujhe batana sir dhanyawad

[@tanishqkumar1328]

16 ka nahi hai

[@shashankshakhar]

First view

[@kishankumarsharma1047]

1st view

[@rg100k-fv6bq]

❤️🙏🙏❤️🌅❤️👪❤️💃💃❤️

[@perfectyaari7932]

Koyi mujhe 17 k liye nikal k btao

[@PADY.SAYS.]

X=12

[@ArunimaSahu-e2e]

Thank you❤