16 December 2016

Divisibility Tests by 3, 5, 10, 11, 25

In the last article we learnt the divisibility rules for 2 or 2's any power like 4, 6, 8 etc. Now, in this article you will learn the rules to check the divisibility of any number by 3, 5, 10, 11 and 25. So, let's start.

Divisibility by 3
  • You just have to total all the digits of the given number and check whether the SUM is divisible by 3 or not.
  • So let me check the divisibility of 32562 by 3.
  • SUM of digits 3+2+5+6+2 = 18 which is a multiple of 3. 
  • That means 32562 is divisible by 3.
Divisibility by 5
  • The given number is divisible by 5 if the last or unit's digit of the given number is 0 (ZERO) or 5. 
  • So accordingly, 32560 and 276325 are divisible by 5. Pretty cool!
Divisibility by 10
  • There is only one rule. The last digit of the given number has to be 0 (ZERO) 
  • Ex. 210, 65280, 31250 are divisible by 10. 
Divisibility by 11
  • If the DIFFERENCE between the SUM OF DIGITS at the EVEN places and the sum of digits at ODD places is either 0 or a MULTIPLE of 11 then the given the number is perfectly divisible by 11.
  • For Ex. 4276 = DIFFERENCE between (3+7) and (4+6) is 0. That means the given number is divisible by 11.
  • Another Ex. 291918 = DIFFERENCE between (2+1+1) and (9+9+8) is 22, a multiple of 11. That means this number is also divisible by 11. 
Divisibility by 25
  • If the last digits of the given number are ZEROS or a multiple of 25. 
  • More clearly, if the last digits are like 00, 25, 50, 75, etc then the given number is completely divisible by 5.
  • For Ex. 3250 and 452675 are perfectly divisible by 5.

No comments:

Post a Comment

Hello, This is Vikas (your mentor) and this is a quick tutorial as how to post your comment.

You can use your gmail account to post your comments and in case you do not have a gmail account. Then you have two options. You can either choose 'Name/URL' option or 'Anonymous' option from 'Comment as:' menu.

If you are using 'Name/URL' option:
Just fill your name in the 'Name' box and hit 'Continue'.

And after that just type in your comment in the box provided and hit 'Publish'.

If you are using 'Anonymous' option:
In this case you will need to type your name in the comment box and then type your comment and hit 'Publish' button.

Just remember comment moderation is ON that means your comments will be published after our approval. So that only useful comments and content is available on the website.

Thank you and good luck for your exams :)