Divisibility Rule of 149

The divisibility rule for 149 is a method by which we can find out if a number is divisible by 149 or not without using the division method. Check whether 22351 is divisible by 149 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 22351, 1 is the last digit; multiply it by 2. 1 × 2 = 2

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 2235 – 2 = 2233.

Step 3: As it is shown that 2233 is not a multiple of 149, the number is not divisible by 149. If the result from step 2 is a multiple of 149, then the number is divisible by 149.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 149.

• Know the multiples of 149: Memorize the multiples of 149 (149, 298, 447, 596, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 149, then the number is divisible by 149.
   
• Use 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 149. For example, check if 7452 is divisible by 149 using the divisibility test. Multiply the last digit by 2, i.e., 2 × 2 = 4. Subtract the remaining digits excluding the last digit by 4, 745 – 4 = 741. Still, 741 is a large number, hence we will repeat the process again and multiply the last digit by 2, 1 × 2 = 2. Now subtracting 2 from the remaining numbers excluding the last digit, 74 – 2 = 72. As 72 is not a multiple of 149, 7452 is not divisible by 149.
   
• 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 2 if the number ends with an even number.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 149 are 149, 298, 447, 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: The process of confirming the accuracy of results, often through an alternative method like division.