Divisibility Rule of 151

The divisibility rule for 151 is a method by which we can find out if a number is divisible by 151 or not without using the division method. Check whether 302 is divisible by 151 with the divisibility rule.

Step 1: Multiply the last digit of the number by 151, here in 302, 2 is the last digit, multiply it by 151. 2 × 151 = 302

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 30 - 302 = -272.

Step 3: Since -272 is not a multiple of 151, 302 is not divisible by 151. If the result from step 2 is a multiple of 151, then the number is divisible by 151.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 151.
 

• Know the multiples of 151: Memorize the multiples of 151 (151, 302, 453, 604…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 151, then the number is divisible by 151.
   
• Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 151. For example: Check if 1213 is divisible by 151 using the divisibility test. Multiply the last digit by 151, i.e., 3 × 151 = 453. Subtract the remaining digits excluding the last digit by 453, 121 - 453 = -332. Still, -332 is a large number, hence we will repeat the process again and multiply the last digit by 151, 2 × 151 = 302. Now subtracting 302 from the remaining numbers excluding the last digit, 12 - 302 = -290. As -290 is not a multiple of 151, 1213 is not divisible by 151.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
   

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 151 if following the rule gives a result that is a multiple of 151.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 151 are 151, 302, 453, 604, etc.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Verification: Verification is the process of confirming a result, often by using an alternate method such as division to ensure accuracy.