Divisibility Rule of 144

The divisibility rule for 144 is a method by which we can find out if a number is divisible by 144 without using the division method. Check whether 5184 is divisible by 144 using the divisibility rule.
 

Step 1: Check if the number is divisible by 12 (since 12 is a factor of 144). A number is divisible by 12 if it is divisible by both 3 and 4.

For divisibility by 3, add the digits of the number: 5 + 1 + 8 + 4 = 18. Since 18 is divisible by 3, 5184 is divisible by 3.

For divisibility by 4, check if the last two digits form a number divisible by 4: 84 is divisible by 4.
 

Step 2: Check if the number is divisible by 12 again to ensure it's divisible by 144. Since 5184 is divisible by 12, continue testing.
 

Step 3: Finally, check divisibility by 12 again. Since it passes, 5184 is divisible by 144.
 

Understanding the divisibility rule will help mastery of division. Let’s learn a few tips and tricks for the divisibility rule of 144.

• Know the multiples of 144: Memorize the multiples of 144 (144, 288, 432, 576, etc.) to quickly check divisibility. If a number is a multiple of 144, it is divisible by 144.
   
• Break down to factors: Since 144 = 12 × 12, check divisibility by 12 twice to confirm divisibility by 144.
   
• Use the division method to verify: Students can use the division method to verify and crosscheck their results. This will help them to verify and also learn.
   

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without actual division.
   
• Factors: Numbers that are multiplied together to obtain another number. For example, 12 and 12 are factors of 144.
   
• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 144 are 144, 288, 432, etc.
   
• Addition: The process of combining numbers to get a sum, often used in checking divisibility by 3.
   
• Verification: The process of confirming the result, often by performing the original division to ensure accuracy.