Divisibility Rule of 253

The divisibility rule for 253 is a method by which we can find out if a number is divisible by 253 or not without using the division method. Check whether 1518 is divisible by 253 with the divisibility rule.

Step 1: Multiply the last two digits of the number by a specific number (in this case, multiply by 4), here in 1518, 18 is the last two digits. Multiply it by 4. 18 × 4 = 72

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last two digits. i.e., 15 - 72 = -57.

Step 3: As the result from Step 2 is not zero, and not a multiple of 253, the number is not divisible by 253. If the result from step 2 is zero or a multiple of 253, then the number is divisible by 253.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 253.

• Know the multiples of 253: Memorize the multiples of 253 (253, 506, 759, etc.) to quickly check divisibility. If the result from the subtraction is zero or a multiple of 253, then the number is divisible by 253.
   
• Use negative numbers: If the result we get after the subtraction is negative, we will consider its absolute value for checking the divisibility of a number.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a number that is divisible by 253. For example: Check if 3036 is divisible by 253 using the divisibility test. Multiply the last two digits by 4, i.e., 36 × 4 = 144. Subtract this from the remaining digits excluding the last two digits, 30 - 144 = -114. Since -114 is not divisible by 253, 3036 is not divisible by 253.
   
• 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 to verify and also learn.

• Divisibility rule: A set of rules used to find out whether a number is divisible by another number without performing division.
   
• Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 253 are 253, 506, 759, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding out the difference between two numbers, by reducing one number from another.
   
• Absolute value: The non-negative value of a number without regard to its sign.