Divisibility Rule of 444

The divisibility rule for 444 is a method by which we can determine if a number is divisible by 444 without using the division method. Let's check whether 888 is divisible by 444 using this rule.  

Step 1: Multiply the last three digits of the number by 1, since 444 has three digits. Here, in 888, the last three digits are 888. So, 888 × 1 = 888.  

Step 2: Check if the result from Step 1 is a multiple of 444. In this case, 888 is exactly twice 444 (444 × 2 = 888).  

Step 3: Since 888 is a multiple of 444, the number is divisible by 444. If the result from Step 2 is not a multiple of 444, then the number isn't divisible by 444.

Learning divisibility rules will help students master division. Let’s explore a few tips and tricks for the divisibility rule of 444.  

• Know the multiples of 444:  Memorize the multiples of 444 (444, 888, 1332, 1776, etc.) to quickly check divisibility. If the result from Step 2 is a multiple of 444, then the number is divisible by 444.  
   
• Repeat the process for large numbers:  For large numbers, students should keep repeating the divisibility process with the last three digits until they reach a smaller number that is divisible by 444.
  
   For example, check if 1776 is divisible by 444 using the divisibility test.  
  
  Since the last three digits are 776, repeat the divisibility process with this number. Notice that 1776 is 444 × 4, so it is divisible by 444.  
   
• 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 to verify and also learn. 

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.  
   
• Multiples: Multiples are the products obtained by multiplying a number by an integer. For example, multiples of 444 are 444, 888, 1332, etc.  
   
• Last three digits: The last three digits of a number are the digits used in checking divisibility by 444.  
   
• Verification: The process of using division to confirm the results obtained from the divisibility rule.  
   
• Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.