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145 LearnersLast updated on February 15th, 2025
Divisibility Rule of 650
The divisibility rule is a way to determine 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 650.
What is the Divisibility Rule of 650?
The divisibility rule for 650 is a method by which we can find out if a number is divisible by 650 or not without using the division method. Check whether 52,650 is divisible by 650 with the divisibility rule.
Step 1: Check if the number is divisible by both 2, 5, and 13 since 650 = 2 × 5 × 13.
- For divisibility by 2: The last digit must be even.
- For divisibility by 5: The last digit must be 0 or 5.
- For divisibility by 13: No simple rule exists; perform short division or other verification.
Step 2: Since 52,650 ends in 0, it is divisible by 2 and 5.
Step 3: Check divisibility by 13 by dividing the number or using other known methods.
Since 52,650 is divisible by 2, 5, and 13, it is divisible by 650.
Tips and Tricks for Divisibility Rule of 650
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 650.
- Know the multiples of 650: Memorize the multiples of 650 (650, 1300, 1950, 2600, etc.) to quickly check divisibility.
- Combine divisibility rules: Use the divisibility rules for 2, 5, and 13 together for quick checks.
- Repeat the process for large numbers: For large numbers, verify each factor separately.
- Use the division method to verify: Use division to verify and crosscheck results, ensuring accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 650
The divisibility rule of 650 helps us quickly check if a number is divisible by 650, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all prime factors.
Ensure the number is divisible by 2, 5, and 13.
Divisibility Rule of 650 Examples
Problem 1
A shipping company has 13,000 packages, and each container can hold exactly 650 packages. Can the company distribute the packages evenly without any left over?
Yes, 13,000 is divisible by 650.
Explanation
To verify divisibility by 650, we need to divide 13,000 by 650.
1) Divide 13,000 by 650, which results in exactly 20 with no remainder.
2) Since there is no remainder, 13,000 is divisible by 650.
Problem 2
A charity event plans to distribute 19,500 donation boxes to various locations, with each location receiving an equal number of boxes. If each location must receive 650 boxes, is it possible for the distribution to be even?
Yes, 19,500 is divisible by 650.
Explanation
To check divisibility by 650:
1) Divide 19,500 by 650. The result is exactly 30 with no remainder.
2) Since there is no remainder, 19,500 is divisible by 650.
Problem 3
A factory produces 15,600 widgets and wants to package them into crates containing 650 widgets each. Will there be any widgets left over?
No, 15,600 is not divisible by 650.
Explanation
To determine divisibility by 650:
1) Divide 15,600 by 650. The result is 24 with a remainder of 0.
2) Since there is no remainder, 15,600 is divisible by 650.
Problem 4
An event manager needs to set up seating for 9,750 guests, with each section containing 650 seats. Can the seating be arranged evenly?
No, 9,750 is not divisible by 650.
Explanation
To check the divisibility by 650:
1) Divide 9,750 by 650. The result is 15 with a remainder of 0.
2) Since there is no remainder, 9,750 is divisible by 650.
Problem 5
A bookstore has an inventory of 26,000 books and wants to organize them into batches of 650 books each for a sale. Is it possible to have no books left over?
Yes, 26,000 is divisible by 650.
Explanation
To verify divisibility by 650:
1) Divide 26,000 by 650. The result is 40 with no remainder.
2) Since there is no remainder, 26,000 is divisible by 650.
FAQs on Divisibility Rule of 650
1.What is the divisibility rule for 650?
2.How many numbers are there between 1 and 10000 that are divisible by 650?
3.Is 1300 divisible by 650?
4.What if I get 0 after subtracting or dividing?
5.Does the divisibility rule of 650 apply to all integers?
Important Glossaries for Divisibility Rule of 650
- Divisibility Rule: The set of rules used to determine if a number is divisible by another number without direct division.
- Multiple: The product of a number and an integer. For example, multiples of 650 are 650, 1300, 1950, etc.
- Prime Factor: A factor that is a prime number. For 650, the prime factors are 2, 5, and 13.
- Subtraction: The process of finding the difference between two numbers.
- Integer: All whole numbers, including positive, negative numbers, and zero.
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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.
