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113 LearnersLast updated on February 14th, 2025
Divisibility Rule of 632
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 632.
What is the Divisibility Rule of 632?
The divisibility rule for 632 is a method by which we can determine if a number is divisible by 632 without using the division method. Check whether 1264 is divisible by 632 using the divisibility rule.
Step 1: Divide the number into sections based on the digits of 632. For example, compare 1,264 with 632 by checking if subtracting multiples of 632 results in zero.
Step 2: Subtract 632 from 1264. If the result is zero or another multiple of 632, the original number is divisible by 632. 1264 - 632 = 632.
Step 3: Since 632 is the result, which is a multiple of 632, the number 1264 is divisible by 632. If the result from step 2 isn't zero or a multiple of 632, then the number isn't divisible by 632.
Tips and Tricks for Divisibility Rule of 632
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 632.
Know the multiples of 632:
Memorize the multiples of 632 (632, 1264, 1896, 2528…etc.) to quickly check divisibility. If the subtraction result is a multiple of 632, then the number is divisible by 632.
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 verify and learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 632
The divisibility rule of 632 helps us quickly check if the given number is divisible by 632, 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 following the correct steps.
Students should follow the correct steps, which involve dividing the number into sections and subtracting multiples of 632.
Divisibility Rule of 632 Examples
Problem 1
Is the number of leaves on a tree, 1896, divisible by 632?
No, 1896 is not divisible by 632.
Explanation
To check, first separate the number into groups of three digits from the right (1, 896). Since 632 does not fit entirely into 1896 without a remainder, 1896 is not divisible by 632.
Problem 2
A spaceship has 3792 units of fuel. Can this amount of fuel be evenly distributed into compartments of 632 units each?
Yes, 3792 is divisible by 632.
Explanation
Divide 3792 by 632. The quotient is 6 with no remainder, confirming that 3792 is divisible by 632.
Problem 3
A library has 6944 books to be organized into sections with each section holding 632 books. Is this possible?
Yes, 6944 is divisible by 632.
Explanation
Divide 6944 by 632. The quotient is 11 with no remainder, confirming that 6944 is divisible by 632.
Problem 4
A farmer has 1500 apples and wants to pack them into crates, each holding 632 apples. Can the apples be packed evenly?
No, 1500 is not divisible by 632.
Explanation
Divide 1500 by 632. The quotient is 2 with a remainder, indicating that 1500 cannot be evenly divided by 632.
Problem 5
A city plans to build a road that is 5056 meters long, dividing it into sections of 632 meters each. Can this be done evenly?
Yes, 5056 is divisible by 632.
Explanation
Divide 5056 by 632. The quotient is 8 with no remainder, confirming that 5056 is divisible by 632
FAQs on Divisibility Rule of 632
1.What is the divisibility rule for 632?
2.How many numbers are there between 1 and 3000 that are divisible by 632?
3.Is 1896 divisible by 632?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 632 apply to all integers?
Important Glossary for Divisibility Rule of 632
- Divisibility Rule: A set of rules used to find out whether a number is divisible by another number.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 632 are 632, 1264, 1896, etc.
- Subtraction: A process of finding the difference between two numbers by reducing one number from another.
- Integer: Numbers that include all whole numbers, negative numbers, and zero.
- Verification: The process of using division to confirm the result of a divisibility test.
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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.
