Divisibility rule of 5, 10, 15

Divisibility Rule of 5, 10, and 15 – with Examples

Welcome to this tutorial to test the divisibility of a number. In this tutorial, you will learn step-by-step methods to test the divisibility of a number by 5, 10, and 15. These divisibility rules are very easy to memorize and you can practice with the example questions provided at the end.

If you want to learn about more divisibility rules, you may follow the link here: Divisibility rules from 2 to 25.

So let’s get started! 🙂

Divisibility rule of 5

The divisibility rule of 5 states that if a number has 5 or 0 in its unit place, then it is divisible by 5.

For example, 26995 and 45110 are divisible by 5 as they have 5 and 0 in the unit place respectively.

On the other hand, 35452 is not divisible by 5.

Divisibility rule of 10

The divisibility rule of 5 states, “A number is divisible by 10 only if the unit digit is zero”.

For example,

25690 and 41599210 are divisible by 10 as the unit place digit is zero (0).

Divisibility rule of 15

The divisibility rule of 15 states, “A number is divisible by 15 only if it is divisible by both 3 and 5”.

Follow the below steps to test the divisibility by 15 for any number:

  1. Step 1: Check if the number is divisible by 3 by following the divisibility rule of 3. If yes, proceed to another next step. If no, the number is not divisible by 15.
  2. Step 2: Check if the number is divisible by 5 by following the divisibility rule of 5. If yes, then number is divisible by 15. If no, the number is not divisible by 15.

For example, let’s check the divisibility of 10935 by 15.

The number is divisible by 3 as the sum of all digits is divisible by 3. i.e., 1+0+9+3+5 = 18. And 10935 is also divisible by 5 as the last digit is 5.

Hence, 10935 is divisible by 15 and gives 729 upon division.

Practice Questions to test the divisibility of 5, 10, 15

Q. State true and false

  • If a number is divisbile by 2 then then it can never by divided by 5 or 15.
  • If a number is divisible by 5 only then it can be divided by 10.
  • Every multiple of 15 is also a multiple of 5.
  • 1555 cannot be divided by 3, hence it cannot be divided by 15 also.
  • Sum of two multiples of 15 is also a multiple of 10.
  • Sum of two multiples of 5 is also a multiple of 15.

Q. Test the divisibility of the following number by 15

  • 16992
  • 14955
  • 3585
  • 85365

Q. Can we divide 1,536 students into a group of 10 so that no student remains?

Q. Between 1 to 150, how many numbers are divisible by (i) 5, (ii) 10, and (iii) 15?

Q. What is the minimum number that should be added to 45699 to make it divisible by 5 but not by 10?

Q. Without calculation can you tell if it is possible to plant 2237 flowers in 15 rows so that each row has the same number of plants and only 1 plant is left?

Q. How divisibility rule of 5 is necessary to test the divisibility of a number by 15?

Some more divisibility rules

Divisibility rule of 9Divisibility rules of 7
Divisibility rules of 25Divisibility rule of 19
Divisibility rule of 16

Frequently Asked Questions (FAQs)

How can you determine the divisibility of a number?

The divisibility of a number can be determined with the help of divisibility rules. We have provided all the divisibility rules from 2 to 25 to easily calculate the divisibility rules of numbers.

What are the first five numbers which are divisible by 15?

The first five numbers which are divisible by 15 are its multiple. i.e., 15, 30, 45, 60, 75.

What are the numbers which are divisible by both 5 and 15?

Every number divisible by 15 is also divisible by 5. For example, 15, 30, 45, 225, etc. are divisible by 15 and hence can be divided by 5 too.

What is the easiest divisibility rule?

The divisibility rule of 10 is the easiest divisibility rule. All you need to do is check if a number has 0 in the one’s place.

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