Divisibility Rule for 5
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
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