Divisibility Rule of 26

The divisibility rule for 26 is a method by which we can find out if a number is divisible by 26 or not without using the division method. Check whether 312 is divisible by 26 with the divisibility rule.

Step 1: Check if the number is divisible by both 2 and 13. For 312, first check divisibility by 2: since the last digit is 2 (an even number), it is divisible by 2.

Step 2: Now check divisibility by 13. Sum all the digits of 312: 3 + 1 + 2 = 6. Since 6 is not divisible by 13, 312 is not divisible by 26.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 26.

• Know the multiples of 26: Memorize the multiples of 26 (26, 52, 78...etc.) to quickly check divisibility. If the number is a multiple of both 2 and 13, then it is divisible by 26.
   
• Use the sum of digits for 13: If a number is divisible by 13, the sum of its digits also needs to be checked for divisibility by 13.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process by checking divisibility with 2 and 13 until they reach a conclusion. For example, check if 1040 is divisible by 26. First, check for 2: the last digit is 0, so 1040 is divisible by 2. Next, check for 13: 1 + 0 + 4 + 0 = 5, which is not divisible by 13, so 1040 is not divisible by 26.
   
• 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 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 digit.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 26 are 26, 52, 78, etc.
   
• Even Number: A number is even if it ends in 0, 2, 4, 6, or 8, and is divisible by 2.
   
• Sum of Digits: The sum of digits involves adding all the digits of a number to check for divisibility by certain numbers like 13.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.