Divisibility Rule of 251

The divisibility rule for 251 is a method by which we can find out if a number is divisible by 251 or not without using the division method. Check whether 75351 is divisible by 251 with the divisibility rule.

Step 1: Multiply the last digit of the number by a certain factor. For 251, this factor is 26. In 75351, 1 is the last digit, multiply it by 26. 1 × 26 = 26.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 7535 - 26 = 7509.

Step 3: Repeat the process with the new number (7509) if necessary. Since 7509 is still a large number, repeat the process. The last digit is 9, 9 × 26 = 234. Subtract from the remaining number, 750 - 234 = 516.

Step 4: Since 516 is still large, continue the process. The last digit is 6, 6 × 26 = 156. Subtract from 51, 51 - 156 = -105. 

Step 5: Since the result is negative, take the absolute value, 105. Repeat the process again with 105. The last digit is 5, 5 × 26 = 130. Subtract from 10, 10 - 130 = -120. 

Step 6: Take the absolute value again, which is 120. Since 120 is not a multiple of 251, the original number is not divisible by 251.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 251.

• Know the multiples of 251: Memorize or have a list of multiples of 251 for quick reference. This helps in quickly checking divisibility.
   
• Use the negative numbers: If the result after subtraction is negative, consider it as positive for checking the divisibility of a number.
   
• Repeat the process for large numbers: Continue the divisibility process until you reach a small number that is clearly divisible or not divisible by 251.
   
• Use the division method to verify: Use the division method to verify and cross-check results. This helps in learning and confirming the divisibility.

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 251 are 251, 502, 753, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one from another.
   
• Absolute value: The non-negative value of a number without regard to its sign.