How Many Two-Digit Numbers Are Divisible By 5?

Ans. 18

Now before knowing the numbers divisible by five, you should know what numbers ‘divisible by five mean’.

Whenever we divide a number by 5 and as a result, its remainder is a 0 this means that a number is divisible by five.

For example: by dividing 25 by 5, we get the remainder as zero.

Divisibility Rule Of 5

The rule of divisibility of 5 states that if the digit in the units place, i.e. the last digit of the given number is 5 or 0, then such a number is divisible by 5. For example, in 9865 the last digit is 5, therefore the number is completely divisible by 5. Similarly, in 780 the last digit is 0, therefore 780 is considered divisible by 5.

List Of Two Digits Numbers Divisible By 5

As you have probably figured out by now, the list of numbers divisible by 5 is infinite.

But there are only 18 two-digit numbers that are divisible by 5. They are as follows:

10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95

Method To Find Out Number Of Two-Digit Numerals Divisible By 5

Two-digit numbers divisible by 5 are 10, 15, 20 …..95

Here d= 5, therefore the sequence of AP

a= 10, tn=95

and common difference d= 5

tn= a+ (n-1)d

95= 10 + (n-1)5

85 =(n-1)5

n-1= 17

n= 18