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 678.
The divisibility rule for 678 is a method by which we can find out if a number is divisible by 678 or not without using the division method.
Check whether 2034 is divisible by 678 with the divisibility rule.
Step 1: Check if 2034 is divisible by 2. Since the last digit is 4, which is even, 2034 is divisible by 2.
Step 2: Check if the sum of the digits (2 + 0 + 3 + 4 = 9) is divisible by 3. Since 9 is divisible by 3, 2034 is divisible by 3.
Step 3: Check if the number ends in 0, which would make it divisible by 10. Since it doesn't, 2034 is not divisible by 10, and hence not divisible by 678.
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 678.
The divisibility rule of 678 helps us to quickly check if a given number is divisible by 678, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Is 678,000 divisible by 678?
Yes, 678,000 is divisible by 678.
To check if 678,000 is divisible by 678, we can simplify the problem by checking the divisibility of 678 and 1,000 separately.
1) 1,000 is a multiple of 1,000, a factor of 678,000.
2) Given that 678 is a factor of itself, 678,000 is divisible by 678 because 678 × 1,000 = 678,000.
Can 1356 be divisible by 678?
Yes, 1356 is divisible by 678.
To determine if 1356 is divisible by 678, we divide 1356 by 678 and check for a whole number.
1) Divide 1356 by 678, which equals 2.
2) Since the division results in a whole number, 1356 is divisible by 678 (678 × 2 = 1356).
Is 2034 a multiple of 678?
No, 2034 is not a multiple of 678.
To see if 2034 is a multiple of 678, divide 2034 by 678.
1) Perform the division: 2034 ÷ 678 ≈ 3.000
2) The result is approximately 3, but not exact, indicating 2034 is not a multiple of 678.
Check if 4068 is divisible by 678.
Yes, 4068 is divisible by 678.
To verify, divide 4068 by 678.
1) 4068 ÷ 678 = 6.
2) The division results in a whole number, confirming 4068 is divisible by 678 (678 × 6 = 4068).
Is -678 divisible by 678?
Yes, -678 is divisible by 678.
To check the divisibility of -678 by 678, consider the absolute value.
1) |-678| ÷ 678 = 1.
2) Since the absolute division results in a whole number, -678 is divisible by 678.
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.