201 LearnersLast updated on May 26th, 2025
Divisibility Rule of 26
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 26.
What is the 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.
Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 26
The divisibility rule of 26 helps us to quickly check if the given number is divisible by 26, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking for both factors (2 and 13).
Always check that the number is divisible by both 2 and 13 before concluding that it is divisible by 26.
Divisibility Rule of 26 Examples
Problem 1
Is 208 divisible by 26?
Yes, 208 is divisible by 26.
Explanation
To check the divisibility of 208 by 26, we can verify by dividing directly.
1) Divide 208 by 26, 208 ÷ 26 = 8.
2) Since the result is an integer with no remainder, 208 is divisible by 26.
Problem 2
Check the divisibility rule of 26 for 156.
No, 156 is not divisible by 26.
Explanation
To determine if 156 is divisible by 26:
1) Divide 156 by 26, 156 ÷ 26 = 6 with a remainder.
2) Since there is a remainder, 156 is not divisible by 26.
Problem 3
Is -520 divisible by 26?
Yes, -520 is divisible by 26.
Explanation
To check if -520 is divisible by 26:
1) Ignore the negative sign and divide 520 by 26, 520 ÷ 26 = 20.
2) Since the result is an integer with no remainder, -520 is divisible by 26.
Problem 4
Can 342 be divisible by 26 following the divisibility rule?
No, 342 is not divisible by 26.
Explanation
To check if 342 is divisible by 26:
1) Divide 342 by 26, 342 ÷ 26 = 13 with a remainder.
2) Since there is a remainder, 342 is not divisible by 26.
Problem 5
Check the divisibility rule of 26 for 650.
Yes, 650 is divisible by 26.
Explanation
To check if 650 is divisible by 26:
1) Divide 650 by 26, 650 ÷ 26 = 25.
2) Since the result is an integer with no remainder, 650 is divisible by 26.
FAQs on Divisibility Rule of 26
1.What is the divisibility rule for 26?
2.How many numbers are there between 1 and 100 that are divisible by 26?
3.Is 52 divisible by 26?
4.What if my number is divisible by 2 but not by 13?
5.Does the divisibility rule of 26 apply to all the integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 26?
7.What are some fun ways kids in India can practice Divisibility Rule of 26 with numbers?
8.What role do numbers and Divisibility Rule of 26 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 26 skills?
Important Glossaries for Divisibility Rule of 26
- 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.
Explore More numbers
Previous to Divisibility Rule of 26
About BrightChamps in India
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
