Divisibility rules are shortcuts or tricks in mathematics that help us quickly check whether a number is divisible by another number without doing the full division.
These rules help check if a number is divisible by 15.
For a number to be divisible by 15,
- It must be divisible by 3.
A number is divisible by 3 if the sum of its digits is divisible by 3
- It must be divisible by 5.
A number is divisible by five if the last digit of that number is either 0 or 5.
For example: Check if 3705 is divisible or not
We need to check if the given number 3705 is divisible by 3 and 5 both or not
- 3705 (3 + 7 + 0 + 5 = 15) 15 is divisible by 3. Therefore, 3705 is also divisible by 3.
- 3705 (last digit is 5 ) so , 3705 is divisible by 5.
The given number 3705 is divisible by 15.
Solved Examples on Divisibility Rule of 15
Example 1: Check whether 790 is divisible by 15
We need to check if the given number 790 is divisible by 3 and 5 both or not
- (7+9+0 = 16) not divisible by 3
- so the given number is not divisible by 15
The given number is not divisible by 15.
Example 2: Check whether 1290 is divisible by 15
We need to check if the given number 1290 is divisible by 3 and 5 both or not
- (1+2+9+0 = 12) 12 is divisible by 3
- last digit is 0. so, it is divisible by 5 also
The given number is divisible by 15.
Example 3: Check whether 13035 is divisible by 15
We need to check if the given number 13035 is divisible by 3 and 5 both or not
(1 + 3 + 0 + 3 + 5 = 12) 12 is divisible by 3
last digit is 5. so, it is divisible by 5 also
The given number is divisible by 15.
Unsolved Questions on Divisibility Rule of 15
Question 1: Check if 690 is divisible by 15 using the divisibility rule.
Question 2: Check if 3,225 is divisible by 15 using the divisibility rule.
Question 3: Check whether the number 7,24,845 is divisible by 15 using the divisibility rule.
Question 4: Check whether the number 840 is divisible by 15 using the divisibility rule.
Question 5: Check whether the number 8965 is divisible by 15 using the divisibility rule.