219 LearnersLast updated on May 26th, 2025
Divisibility Rule of 732
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 732.
What is the Divisibility Rule of 732?
The divisibility rule for 732 is a method by which we can find out if a number is divisible by 732 or not without using the division method. Check whether 1464 is divisible by 732 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 61 since 732 is the product of these prime numbers: 732 = 2 × 3 × 61.
Step 2: For divisibility by 2, the last digit should be even. In 1464, the last digit is 4, which is even.
Step 3: For divisibility by 3, the sum of the digits should be divisible by 3. Sum of digits in 1464 is 1+4+6+4=15, which is divisible by 3.
Step 4: For divisibility by 61, use the division method to check. 1464 ÷ 61 = 24, which is an integer, so 1464 is divisible by 61.
Step 5: Since 1464 is divisible by 2, 3, and 61, it is divisible by 732.
Tips and Tricks for Divisibility Rule of 732
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 732.
Know the prime factors:
Memorize the prime factors of 732 (2, 3, and 61) to quickly check divisibility by each.
Use the division method for larger factors:
If a number seems large, use division to check divisibility by 61.
Combine divisibility rules:
Make sure the number meets all divisibility rules for 2, 3, and 61 to confirm divisibility by 732.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 732
The divisibility rule of 732 helps us quickly check if a given number is divisible by 732, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking all prime factors.
Ensure divisibility checks are done for 2, 3, and 61.
Mistake 2
Miscalculating divisibility by 3.
Add the digits accurately and ensure the sum is divisible by 3.
Mistake 3
Ignoring prime factorization.
Always remember that 732 = 2 × 3 × 61, and check divisibility by each.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them; to avoid errors, students should practice regularly.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 732 Examples
Problem 1
Is 1464 divisible by 732?
Yes, 1464 is divisible by 732.
Explanation
1) Divide 1464 by 732 to see if it results in a whole number.
2) 1464 ÷ 732 = 2
3) Since the result is a whole number, 1464 is divisible by 732.
Problem 2
Check the divisibility rule of 732 for 7320.
Yes, 7320 is divisible by 732.
Explanation
1) Divide 7320 by 732 to see if it results in a whole number.
2) 7320 ÷ 732 = 10
3) Since the result is a whole number, 7320 is divisible by 732.
Problem 3
Is 293 divisible by 732?
No, 293 is not divisible by 732.
Explanation
1) Divide 293 by 732 to see if it results in a whole number.
2) 293 ÷ 732 ≈ 0.4
3) Since the result is not a whole number, 293 is not divisible by 732.
Problem 4
Can 2196 be divisible by 732 following the divisibility rule?
Yes, 2196 is divisible by 732.
Explanation
1) Divide 2196 by 732 to see if it results in a whole number.
2) 2196 ÷ 732 = 3
3) Since the result is a whole number, 2196 is divisible by 732.
Problem 5
Check the divisibility rule of 732 for 6552.
Yes, 6552 is divisible by 732.
Explanation
1) Divide 6552 by 732 to see if it results in a whole number.
2) 6552 ÷ 732 = 9
3) Since the result is a whole number, 6552 is divisible by 732.
FAQs on Divisibility Rule of 732
1.What is the divisibility rule for 732?
2.How many numbers are there between 1 and 1000 that are divisible by 732?
3.Is 1464 divisible by 732?
4.What if I get a remainder when dividing by 61?
5.Does the divisibility rule of 732 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 732?
7.What are some fun ways kids in United States can practice Divisibility Rule of 732 with numbers?
8.What role do numbers and Divisibility Rule of 732 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 732 skills?
Important Glossaries for Divisibility Rule of 732
- 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.
- Prime factors: The prime numbers that multiply together to give the original number. For 732, these are 2, 3, and 61.
- Integer: Whole numbers that include positive numbers, negative numbers, and zero.
- Sum of digits: The total obtained by adding all the digits in a number. Used in divisibility checks for 3.
- Remainder: The amount left over after division when a number does not divide evenly.
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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.
