Divisibility Rule of 147

The divisibility rule for 147 is a method by which we can find out if a number is divisible by 147 or not without using the division method. Check whether 1764 is divisible by 147 with the divisibility rule.
 

Step 1: Check if the number is divisible by 3, 7, and 7 (since 147 = 3 × 7 × 7). Begin with 3: Add the digits of the number, 1 + 7 + 6 + 4 = 18, which is divisible by 3.
 

Step 2: Check divisibility by 7: For 1764, take 176, double the last digit (4), and subtract it from the rest, 176 - 8 = 168, which is divisible by 7 (168 ÷ 7 = 24).
 

Step 3: Check divisibility by 7 again: From step 2, take 168, and repeat the process. 16 - (8 × 2) = 0, which is divisible by 7.
 

Since 1764 is divisible by 3, 7, and 7, it is divisible by 147.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 147.
 

• Know the multiples of 147: Memorize the multiples of 147 (147, 294, 441, etc.) to quickly check divisibility. If a number is divisible by 3, 7, and 7, it's divisible by 147.
   
• Use the divisibility rules of 3 and 7: Familiarize yourself with these rules to simplify checking for divisibility by 147.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 147.
  
  For example, check if 3528 is divisible by 147. First, check divisibility by 3: 3 + 5 + 2 + 8 = 18, which is divisible by 3. Next, check divisibility by 7: Take 352, double 8 = 16, 352 - 16 = 336, which is divisible by 7. Repeat for 336: 33 - 12 = 21, which is divisible by 7.
   
• Use the division method to verify: Students can use the division method to verify and cross-check 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 performing full division.
   
• Multiples: The results obtained from multiplying a number by an integer. For example, multiples of 147 are 147, 294, 441, etc.
  
   
• Factors: Numbers that can be evenly multiplied together to obtain another number. For example, the factors of 147 are 3, 7, and 7.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one number from another.