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115 LearnersLast updated on February 18th, 2025
Divisibility Rule of 996
The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 996.
What is the Divisibility Rule of 996?
The divisibility rule for 996 is a method by which we can find out if a number is divisible by 996 or not without using the division method. Check whether 1992 is divisible by 996 using the divisibility rule.
Step 1: Check if the number is divisible by 2. Since 1992 ends in 2, it is divisible by 2.
Step 2: Check if the number is divisible by 3. Add the digits: 1+9+9+2=21, which is divisible by 3.
Step 3: Check if the number is divisible by 83, as 996=2×3×83. Perform the division: 1992÷83=24, which is a whole number.
Since 1992 passes all these tests, it is divisible by 996.
Tips and Tricks for Divisibility Rule of 996
Learning divisibility rules will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 996.
Know the factors of 996:
Memorize the prime factors of 996. A number is divisible by 996 if it is divisible by 2, 3, and 83.
Use the division method for large numbers:
For large numbers, breaking them down into smaller factors like 2, 3, and 83 can simplify the process.
Verify with division:
Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 996
The divisibility rule of 996 helps us quickly check if a given number is divisible by 996, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and how to avoid them:
Mistake 1
Not checking all factors.
Ensure that a number is divisible by 2, 3, and 83 to confirm divisibility by 996.
Divisibility Rule of 996 Examples
Problem 1
Is 1992 divisible by 996?
Yes, 1992 is divisible by 996.
Explanation
To check if 1992 is divisible by 996, we divide the number by 996. If the result is an integer, then it is divisible.
1) 1992 ÷ 996 = 2.
2) The result is an integer (2), so 1992 is divisible by 996.
Problem 2
Can 2988 be divisible by 996?
Yes, 2988 is divisible by 996.
Explanation
To verify if 2988 is divisible by 996, divide the number by 996.
1) 2988 ÷ 996 = 3.
2) Since the result is an integer (3), 2988 is divisible by 996
Problem 3
Is 1500 divisible by 996?
No, 1500 is not divisible by 996.
Explanation
To determine if 1500 is divisible by 996, divide the number by 996.
1) 1500 ÷ 996 ≈ 1.506.
2) The result is not an integer, so 1500 is not divisible by 996.
Problem 4
Check the divisibility of 3984 by 996.
Yes, 3984 is divisible by 996.
Explanation
To check if 3984 is divisible by 996, perform the division.
1) 3984 ÷ 996 = 4.
2) The result is an integer (4), indicating that 3984 is divisible by 996.
Problem 5
Determine if -996 is divisible by 996.
Yes, -996 is divisible by 996.
Explanation
To check if -996 is divisible by 996, ignore the negative sign and perform the division.
1) 996 ÷ 996 = 1.
2) The result is an integer (1), confirming that -996 is divisible by 996
FAQs on Divisibility Rule of 996
1.What is the divisibility rule for 996?
2.How many numbers are there between 1 and 1000 that are divisible by 996?
3. Is 1992 divisible by 996?
4. What if a number passes only some of the divisibility tests?
5.Does the divisibility rule of 996 apply to all integers?
Important Glossaries for Divisibility Rule of 996
- Divisibility rule: A set of rules used to determine if one number is divisible by another without performing division.
- Prime factors: The prime numbers that multiply together to give a certain number. For 996, these are 2, 3, and 83.
- Verification: The process of confirming the results of a calculation, often through division.
- Calculation: The process of using mathematical operations to find a result.
- Integer: A whole number that can be positive, negative, or zero.
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