213 LearnersLast updated on May 26th, 2025
Divisibility Rule of 669
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 669.
What is the Divisibility Rule of 669?
The divisibility rule for 669 is a method by which we can determine if a number is divisible by 669 without using the division method. Check whether 1338 is divisible by 669 with the divisibility rule.
Step 1: Divide the number into groups of three digits from right to left. Here in 1338, we have 1 and 338.
Step 2: Subtract the second group from the first group. i.e., 1 - 338 = -337.
Step 3: If the result is a multiple of 669, or zero, then the number is divisible by 669. In our case, -337 is not a multiple of 669, so 1338 is not divisible by 669.
Tips and Tricks for Divisibility Rule of 669
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 669.
- Know the multiples of 669: Memorize the multiples of 669 (669, 1338, 2007, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 669, then the number is divisible by 669.
- Use the absolute value: If the result we get after subtraction is negative, we will use the absolute value for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 669.
For example: Check if 2676 is divisible by 669 using the divisibility test.
Divide 2676 into groups: 2 and 676.
Subtract the groups: 2 - 676 = -674.
Since -674 isn't a multiple of 669, 2676 isn't divisible by 669.
- 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 669
The divisibility rule of 669 helps us quickly check if a given number is divisible by 669, 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 correctly divide the number into groups of three digits, then subtract the second group from the first group and check if the result is a multiple of 669.
Mistake 2
Including digits from previous groups in subtraction.
Students should remember to only use the three-digit groups they have formed and not mix other digits in the subtraction process.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number as a result of subtraction. The process should be repeated until we obtain the smallest number that is divisible by 669.
Mistake 4
Not considering the absolute value.
Students may overlook negative results, thinking divisibility rules don't apply to negative values. The divisibility rule is applicable for negative values too, so consider the absolute value while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid this error, practice regularly.
Divisibility Rule of 669 Examples
Problem 1
Is 2007 divisible by 669?
Yes, 2007 is divisible by 669.
Explanation
To determine if 2007 is divisible by 669, we can perform the division directly or verify by another method that confirms divisibility. When dividing 2007 by 669, the result is exactly 3, which means 2007 is a multiple of 669 (669 x 3 = 2007).
Problem 2
Check the divisibility of 2676 by 669.
Yes, 2676 is divisible by 669.
Explanation
To check the divisibility of 2676 by 669, perform the division: 2676 ÷ 669 = 4. Since the result is a whole number, 2676 is divisible by 669 (669 x 4 = 2676).
Problem 3
Is 1338 divisible by 669?
Yes, 1338 is divisible by 669.
Explanation
To verify if 1338 is divisible by 669, divide 1338 by 669. The division results in 2, indicating that 1338 is exactly two times 669 (669 x 2 = 1338).
Problem 4
Can 4017 be divisible by 669?
No, 4017 is not divisible by 669.
Explanation
To determine divisibility, divide 4017 by 669. The result is not a whole number, indicating 4017 is not a multiple of 669. Therefore, 4017 is not divisible by 669.
Problem 5
Check the divisibility of 10035 by 669.
No, 10035 is not divisible by 669.
Explanation
Divide 10035 by 669. The result is not an integer, which means 10035 is not a multiple of 669, confirming that it is not divisible by 669.
FAQs on Divisibility Rule of 669
1.What is the divisibility rule for 669?
2.How many numbers are there between 1 and 2000 that are divisible by 669?
3.Is 1338 divisible by 669?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 669 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 669?
7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 669 with numbers?
8.What role do numbers and Divisibility Rule of 669 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Divisibility Rule of 669 skills?
Important Glossaries for Divisibility Rule of 669
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 669 are 669, 1338, 2007, etc.
- Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.
- Absolute value: The absolute value of a number is its distance from zero on the number line, without considering its direction. For example, the absolute value of -337 is 337.
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