159 LearnersLast updated on May 26th, 2025
Divisibility Rule of 130
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 130.
What is the Divisibility Rule of 130?
The divisibility rule for 130 is a method by which we can find out if a number is divisible by 130 or not without using the division method. Check whether 2600 is divisible by 130 using the divisibility rule.
Step 1: Check if the number is divisible by 10. Here, the last digit of 2600 is 0, which means it is divisible by 10.
Step 2: Check if the number obtained by removing the last digit (i.e., 260) is divisible by 13.
Step 3: Divide 260 by 13. Since 260 ÷ 13 = 20, which is an integer, 260 is divisible by 13.
Since both conditions are satisfied, 2600 is divisible by 130.
Tips and Tricks for Divisibility Rule of 130
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 130.
Know the multiples of 130:
Memorize the multiples of 130 (130, 260, 390, 520…etc.) to quickly check divisibility.
Use the divisibility rules of 10 and 13:
A number divisible by 130 must first be divisible by 10, then check if the remaining number (after removing the last digit) is divisible by 13.
Repeat the process for large numbers:
Students should continue checking divisibility step-by-step, especially for large numbers.
Use the division method to verify:
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 130
The divisibility rule of 130 helps us quickly check if a given number is divisible by 130, 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 both divisibility conditions (by 10 and 13).
Ensure the number is divisible by both 10 and 13 for it to be divisible by 130.
Divisibility Rule of 130 Examples
Problem 1
A farmer needs to distribute 650 apples equally into boxes, each containing 130 apples. Can the farmer do this without any apples left over?
Yes, 650 is divisible by 130.
Explanation
1) Check if 650 is divisible by 130 by dividing the number directly because the division is straightforward:
650 ÷ 130 = 5, which is a whole number.
2) Since there is no remainder, 650 is divisible by 130.
Problem 2
A library has a total of 780 books and wants to create equal-sized stacks with each stack containing 130 books. Is this possible?
Yes, 780 is divisible by 130.
Explanation
1) To determine if 780 is divisible by 130, divide 780 by 130:
780 ÷ 130 = 6, which is a whole number.
2) The result is an integer, so 780 is divisible by 130.
Problem 3
A concert hall has 1040 seats and plans to organize them into sections, each containing 130 seats. Can the sections be formed evenly?
Yes, 1040 is divisible by 130.
Explanation
1) To check if 1040 is divisible by 130, divide 1040 by 130:
1040 ÷ 130 = 8, which is a whole number.
2) Since there is no remainder, 1040 is divisible by 130.
Problem 4
A company plans to distribute 520 promotional items equally among departments, with each department receiving 130 items. Is this distribution possible?
No, 520 is not divisible by 130.
Explanation
1) To find if 520 is divisible by 130, we divide:
520 ÷ 130 = 4, with a remainder of 0.
2) Since there is no remainder, 520 is divisible by 130.
Problem 5
A marathon organizer wants to place water stations every 130 meters along a 1300-meter course. Can this be done evenly?
Yes, 1300 is divisible by 130.
Explanation
1) To determine if 1300 is divisible by 130, divide 1300 by 130:
1300 ÷ 130 = 10, which is a whole number.
2) The result is an integer, so 1300 is divisible by 130.
FAQs on Divisibility Rule of 130
1.What is the divisibility rule for 130?
2.How many numbers are there between 1 and 1000 that are divisible by 130?
3.Is 390 divisible by 130?
4.What if I get 0 after dividing?
5.Does the divisibility rule of 130 apply to all the integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 130?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 130 with numbers?
8.What role do numbers and Divisibility Rule of 130 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 130 skills?
Important Glossaries for Divisibility Rule of 130
- Divisibility Rule: A set of guidelines used to determine if one number is divisible by another without performing division.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 130 are 130, 260, 390, etc.
- Integer: A number that includes all whole numbers, negative numbers, and zero.
- Division: The process of determining how many times one number is contained within another.
- Remainder: The amount left over after division when one number does not divide the other exactly.
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About BrightChamps in Saudi Arabia
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.
