Divisibility Rule of 158

The divisibility rule for 158 is a method by which we can find out if a number is divisible by 158 or not without using the division method. Check whether 4742 is divisible by 158 using the divisibility rule.

Step 1: Divide the number into two parts, the last two digits and the remaining digits. In 4742, 42 is the last two digits and 47 is the remaining.

Step 2: Multiply the last two digits by 2. So, 42 × 2 = 84.

Step 3: Subtract the result from Step 2 from the remaining part. That is, 47 - 84 = -37.

Step 4: If the result is a multiple of 158, then the number is divisible by 158. In this case, since -37 is not a multiple of 158, 4742 is not divisible by 158.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 158.

• Know the multiples of 158: Memorize the multiples of 158 (158, 316, 474, 632…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 158, the number is divisible by 158.

• Use the negative numbers: If the result we get after the subtraction is negative, we will 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 158.  For example: Check if 3164 is divisible by 158 using the divisibility test. Divide the number into two parts: 64 and 31. Multiply the last two digits by 2, i.e., 64 × 2 = 128. Subtract the remaining digits excluding the last two digits by 128, 31 - 128 = -97. Since -97 is not a multiple of 158, repeat the process with -97 as the new number. 97 × 2 = 194. Subtracting 194 from 0 results in -194. Since -194 is still not a multiple of 158, we conclude that 3164 is not divisible by 158.
   
• Use the division method to verify: Students can use the division method 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 or not.
   
• Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 158 are 158, 316, 474, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: A process of finding the difference between two numbers by reducing one number from another.
   
• Verification: The process of checking the correctness of a result, often done through division in this context.