Divisibility Rule of 915

The divisibility rule for 915 is a method by which we can find out if a number is divisible by 915 or not without using the division method. Check whether 1830 is divisible by 915 with the divisibility rule.

Step 1: Check the divisibility by 5 — the last digit must be 0 or 5. Here, 1830 ends in 0, so it is divisible by 5.

Step 2: Check the divisibility by 3 — the sum of the digits must be divisible by 3. The sum of the digits of 1830 is 1+8+3+0=12, which is divisible by 3.

Step 3: Check the divisibility by 61 — Use direct division or another method to verify. Here, 1830 divided by 61 equals 30, so it is divisible by 61.

Since 1830 is divisible by 5, 3, and 61, it is divisible by 915.

Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 915.

Know the prime factorization of 915: 

Prime factorization of 915 is 3 × 5 × 61. Check divisibility by each factor to determine divisibility by 915.

Use multiplication tables:

Memorize basic multiplication tables to quickly check divisibility by smaller factors like 3 and 5.

Check divisibility step-by-step:

If a number is large, verify divisibility by each factor step-by-step.

Use the division method to verify:
 

Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
 

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number without direct division.

• Prime factorization: Breaking down a number into its prime number factors.

• Multiples: Results obtained by multiplying a number by an integer.

• Integers: Whole numbers that include negative numbers and zero.

• Subtraction: The process of finding the difference between two numbers by taking one away from the other.