Last updated on May 26th, 2025
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 234.
The divisibility rule for 234 is a method by which we can determine if a number is divisible by 234 or not without using the division method. Check whether 4680 is divisible by 234 using the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 13, since 234 = 2 × 3 × 13.
- For divisibility by 2, the last digit must be even. Here, the last digit of 4680 is 0, which is even.
- For divisibility by 3, the sum of the digits must be divisible by 3. The sum of the digits of 4680 is 4 + 6 + 8 + 0 = 18, which is divisible by 3.
- For divisibility by 13, divide the number by 13 directly or use shortcuts. 4680 divided by 13 gives a whole number (360).
Step 2: Since 4680 is divisible by 2, 3, and 13, it is divisible by 234
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 234.
Understand that checking divisibility by 234 involves checking divisibility by 2, 3, and 13.
Knowing multiples of 234 can help quickly verify divisibility.
Break down the number into smaller components to check for divisibility by factors.
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
The divisibility rule of 234 helps us to quickly check if the given number is divisible by 234, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 468 divisible by 234?
Yes, 468 is divisible by 234.
To check if 468 is divisible by 234:
1) Divide 468 by 234, which equals 2.
2) Since the result is an integer, 468 is divisible by 234.
Can 702 be divided by 234 without a remainder?
Yes, 702 is divisible by 234.
To verify:
1) Divide 702 by 234, which gives 3.
2) The result is an integer, so 702 is divisible by 234.
Is -936 divisible by 234?
Yes, -936 is divisible by 234.
For negative numbers:
1) Remove the negative sign and divide 936 by 234.
2) 936 ÷ 234 equals 4, an integer.
3) Therefore, -936 is divisible by 234.
Test the divisibility of 567 by 234.
No, 567 is not divisible by 234.
To check:
1) Divide 567 by 234, which is approximately 2.42.
2) Since the result is not an integer, 567 is not divisible by 234.
Verify the divisibility of 1404 by 234.
Yes, 1404 is divisible by 234.
To confirm:
1) Divide 1404 by 234, which equals 6.
2) The result is an integer, indicating that 1404 is divisible by 234.
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.
: She loves to read number jokes and games.