Divisibility Rule of 133

The divisibility rule for 133 is a method by which we can find out if a number is divisible by 133 or not without using the division method. Check whether 2660 is divisible by 133 with the divisibility rule.

 
Step 1: Break down 133 into its prime factors, which are 7 and 19. So, a number is divisible by 133 if it is divisible by both 7 and 19.

 
Step 2: Check if 2660 is divisible by 7 by using the divisibility rule of 7:  
          - Multiply the last digit by 2 (0 x 2 = 0).  
          - Subtract the result from the rest (266 - 0 = 266).  
          - Repeat the process: 6 x 2 = 12; 26 - 12 = 14.  
          - Since 14 is a multiple of 7, 266 is divisible by 7.  

Step 3: Check if 2660 is divisible by 19 by using the divisibility rule of 19:  
          - Double the last digit (0 x 2 = 0).  
          - Add to the remaining leading part (266 + 0 = 266).  
          - Repeat the process: 6 x 2 = 12; 26 + 12 = 38.  
          - 38 divided by 19 is a whole number (2), thus 266 is divisible by 19.  

Step 4: Since 266 is divisible by both 7 and 19, it is divisible by 133.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 133.

• Know the multiples of 133:  Memorize the multiples of 133 (133, 266, 399, 532, etc.) to quickly check divisibility. If the number is a multiple of both 7 and 19, it is divisible by 133.
   
• 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: The set of rules used to determine whether a number is divisible by another number without performing division. For example, a number is divisible by 2 if it ends in an even digit.
   
• Multiples: The results we get after multiplying a number by an integer. For example, multiples of 133 are 133, 266, 399, etc.
   
• Prime factors: The prime numbers that multiply together to yield a given number. For 133, the prime factors are 7 and 19.
   
• Integers: Whole numbers that include positive numbers, negative numbers, and zero.
   
• Verification: The process of confirming results through another method to ensure accuracy.