Last updated on May 26th, 2025
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.
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.
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.
For 3 and 9, use the sum of the digits to check divisibility.
For large numbers, check divisibility with the factors 3, 9, and 23 repeatedly if needed.
You can use the division method to verify and cross-check results, ensuring accuracy.
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:
Is 1035 divisible by 207?
Yes, 1035 is divisible by 207.
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.
Check the divisibility rule of 207 for 2484.
Yes, 2484 is divisible by 207.
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.
Is 1242 divisible by 207?
No, 1242 is not divisible by 207.
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.
Can 1863 be divisible by 207 following the divisibility rule?
Yes, 1863 is divisible by 207.
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.
Check the divisibility rule of 207 for 2907.
Yes, 2907 is divisible by 207.
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.