Divisibility Rule of 960

The divisibility rule for 960 is a method by which we can find out if a number is divisible by 960 or not without using the division method. Check whether 1920 is divisible by 960 with the divisibility rule.  

Step 1: Verify divisibility by 10. The number should end in 0.

Step 2: Check divisibility by 3. Add all the digits of the number. For 1920, 1 + 9 + 2 + 0 = 12, which is divisible by 3.

Step 3: Check divisibility by 32. Divide the last five digits (or the entire number if fewer than five digits) by 32. Here, 1920 divided by 32 equals 60, which is an integer.

Since 1920 meets these criteria, it is divisible by 960.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 960.

Break down the rule:  

960 is 10 × 3 × 32. Ensure the number is divisible by each of these components.

Remember divisibility by 32:  
 

For divisibility by 32, check the last five digits (or the whole number if less than five digits) to see if it is divisible by 32.

Use known divisibility rules:  

Use the divisibility rules for 10 and 3, which are straightforward and easy to apply.

Verify with smaller components:  

If a number is large, break it down into smaller parts and check each part for divisibility by 960.

Use the division method to verify:  

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

• Divisibility rule: A set of guidelines to determine if one number is divisible by another without direct division.

• Multiples: Results obtained by multiplying a number by an integer. Example: multiples of 960 are 960, 1920, 2880, etc.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

• Summation: The process of adding a sequence of numbers to find their total.

• Components: The factors or parts that make up a whole. In this context, factors of 960 like 10, 3, and 32.