147 LearnersLast updated on May 26th, 2025
Divisibility Rule of 207
The divisibility rule is a way to determine whether a number is divisible by another number without using traditional division. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will explore the divisibility rule of 207.
What is the Divisibility Rule of 207?
The divisibility rule for 207 is a method to find out if a number is divisible by 207 without performing the division directly. Let's see if 41214 is divisible by 207 using this rule.
Step 1: There is no simple shortcut for 207 like the rule for smaller numbers such as 7. Instead, check divisibility by 207's factors: 3, 9, and 23.
Step 2: Check divisibility by 3: Add all the digits of the number 4+1+2+1+4=12. Since 12 is divisible by 3, the number passes this test.
Step 3: Check divisibility by 9: The sum of the digits is 12, which is not divisible by 9, so 41214 is not divisible by 207.
Tips and Tricks for Divisibility Rule of 207
Learning divisibility rules will help kids master division. Here are a few tips and tricks for the divisibility rule of 207:
Know the factors of 207: 207 is divisible by 3, 9, and 23. Ensure the number passes these tests for divisibility.
Use the sum of digits for 3 and 9:
For 3 and 9, use the sum of the digits to check divisibility.
Repeat the process for large numbers:
For large numbers, check divisibility with the factors 3, 9, and 23 repeatedly if needed.
Use the division method to verify:
You can use the division method to verify and cross-check results, ensuring accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 207
The divisibility rule of 207 helps us quickly check divisibility, but common mistakes can lead to errors. Here are some common mistakes and how to avoid them:
Mistake 1
Not checking all factor rules.
Ensure you check divisibility by all factors of 207: 3, 9, and 23.
Divisibility Rule of 207 Examples
Problem 1
Is 1035 divisible by 207?
Yes, 1035 is divisible by 207.
Explanation
To determine if 1035 is divisible by 207:
1) Divide 1035 by 207.
2) The result is exactly 5, meaning 207 multiplied by 5 equals 1035.
3) Since there's no remainder, 1035 is divisible by 207.
Problem 2
Check the divisibility rule of 207 for 2484.
Yes, 2484 is divisible by 207.
Explanation
To verify if 2484 is divisible by 207:
1) Divide 2484 by 207.
2) The result is exactly 12, meaning 207 multiplied by 12 equals 2484.
3) Since there's no remainder, 2484 is divisible by 207.
Problem 3
Is 1242 divisible by 207?
No, 1242 is not divisible by 207.
Explanation
To check if 1242 is divisible by 207:
1) Divide 1242 by 207.
2) The result is approximately 6.0, but not exact, indicating 207 does not evenly divide into 1242.
3) Since there is a remainder, 1242 is not divisible by 207.
Problem 4
Can 1863 be divisible by 207 following the divisibility rule?
Yes, 1863 is divisible by 207.
Explanation
To determine if 1863 is divisible by 207:
1) Divide 1863 by 207.
2) The result is exactly 9, meaning 207 multiplied by 9 equals 1863.
3) Since there's no remainder, 1863 is divisible by 207.
Problem 5
Check the divisibility rule of 207 for 2907.
Yes, 2907 is divisible by 207.
Explanation
To check if 2907 is divisible by 207:
1) Divide 2907 by 207.
2) The result is exactly 14, meaning 207 multiplied by 14 equals 2907.
3) Since there's no remainder, 2907 is divisible by 207.
FAQs on Divisibility Rule of 207
1.What is the divisibility rule for 207?
2.How many numbers between 1 and 1000 are divisible by 207?
3.Is 621 divisible by 207?
4.What if I get a non-integer quotient?
5.Does the divisibility rule of 207 apply to all integers?
6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 207?
7.What are some fun ways kids in Singapore can practice Divisibility Rule of 207 with numbers?
8.What role do numbers and Divisibility Rule of 207 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Divisibility Rule of 207 skills?
Important Glossaries for Divisibility Rule of 207
- Divisibility rule: Set of rules determining whether a number is divisible by another without direct division.
- Factors: Numbers that are multiplied together to get another number. For example, factors of 207 are 3, 9, and 23.
- Quotient: The result obtained by dividing one quantity by another.
- Sum of digits: The total obtained by adding all the digits of a number.
- Integer: A whole number that can be positive, negative, or zero.
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