Divisibility Rule for 5


 
 
Concept Explanation
 

Divisibility Rule for 5

Divisibility Rule For 5: This rule is used to check whether a number is divisible by 5 or not without performing long division. Any number is divisible by 5, if its units digit is a multiple of 5. That is its units digit is either 0 or 5.

Justification: Clearly, 10 is a multiple of 5.

Therefore , 10a is also a multiple of 5.

Since the sum of any two multiples of 5 is a multiple of 5. Therefore, 10a+b will be a multiple of 5, if b is a multiple of 5.

Thus, an integer is divisible by 5, if its units digit is a multiple of 5. That is its units digit is either 0 or 5.

Illustration: Check whether 34,780 is divisible by 5.

Solution: For this rule we just look at the last digit: 34,780. The last digit is a 0, so this number is divisible by 5.

Illustration: Check whether 13,569 is divisible by 5.

Solution:  Again, we will focus our attention on the last digit: 13,569. The last digit is a 9 which is not divisible by 5 so this number is not divisible by 5. 

Also, the remainder when an integer is divided by 5 is equal to the remainder when its units digit is divided by 5.

For example, if

  •    521 is divided by 5, the remainder is 1 also the unit place digit 1 will give a remainder 1 whne divided by 5.
  •    294 is divided by 5, the remainder is 4.also the unit place digit  4 will give a remainder 4 whne divided by 5.
  •    928 is divided by 5, the remainder is equal to the remainder when 8 is divided by 5. i.e. equal to 3.
  •    2587 is divided by 5, the remainder is equal to 2.
  • Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    What should be the value of x so that the 456765x number is divisible by 5

    Right Option : C
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    Explanation
    Question : 2

    Which of the following choice is correct

    Right Option : A
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    Explanation
    Question : 3

    445675 is divisible by _________________

    Right Option : C
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    Explanation
     
     


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