Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 689.
The divisibility rule for 689 is a method by which we can find out if a number is divisible by 689 without using the division method. Check whether 1378 is divisible by 689 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. In 1378, 8 is the last digit, so multiply it by 2. 8 × 2 = 16.
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 137–16 = 121.
Step 3: Since 121 is not a multiple of 689, the number is not divisible by 689. If the result from Step 2 were a multiple of 689, then the number would be divisible by 689.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 689.
The divisibility rule of 689 helps us to quickly check if a given number is divisible by 689, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 2067 divisible by 689?
Yes, 2067 is divisible by 689.
To determine if 2067 is divisible by 689, we can use the following method:
1) Split the number into groups of three digits from right to left. Since 2067 is less than 1000, we only have one group: 2067.
2) Calculate 2067 ÷ 689 = 3.
3) Since the result is an integer with no remainder, 2067 is divisible by 689.
Check the divisibility rule of 689 for 1378.
No, 1378 is not divisible by 689.
To check if 1378 is divisible by 689:
1) Split the number into groups of three digits from right to left. Since 1378 is less than 1000, we only have one group: 1378.
2) Calculate 1378 ÷ 689 ≈ 2.
3) Since the result is not an integer and has a remainder, 1378 is not divisible by 689.
Is -3445 divisible by 689?
No, -3445 is not divisible by 689.
To check if -3445 is divisible by 689:
1) Remove the negative sign and consider the positive number 3445.
2) Split the number into groups of three digits from right to left. Since 3445 is less than 1000, we have one group: 3445.
3) Calculate 3445 ÷ 689 ≈ 5.
4) Since the result is not an integer and has a remainder, 3445 is not divisible by 689.
Can 689 be divisible by 689 following the divisibility rule?
Yes, 689 is divisible by 689.
To check if 689 is divisible by itself:
1) Split the number into groups of three digits from right to left, which is just 689 itself.
2) Calculate 689 ÷ 689 = 1.
3) Since the result is exactly 1, 689 is divisible by 689.
Check the divisibility rule of 689 for 6890.
No, 6890 is not divisible by 689.
To check if 6890 is divisible by 689:
1) Split the number into groups of three digits from right to left, giving us two groups: 6 and 890.
2) Calculate 6890 ÷ 689 ≈ 10.
3) Since the result is not an integer and has a remainder, 6890 is not divisible by 689.
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.