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 677.
The divisibility rule for 677 is a method by which we can find out if a number is divisible by 677 or not without using the division method.
Check whether 203,631 is divisible by 677 with the divisibility rule.
Step 1: Multiply the last three digits of the number by 2, here in 203,631, 631 is the last three digits. Multiply it by 2. 631 × 2 = 1,262.
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last three digits. i.e., 203–1,262 = -1,059.
Step 3: As it is shown that -1,059 is not a multiple of 677, therefore, the number is not divisible by 677. If the result from step 2 is a multiple of 677, then the number is divisible by 677.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 677.
The divisibility rule of 677 helps us to quickly check if the given number is divisible by 677, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you.
Does the number 2031 follow the divisibility rule of 677?
No, 2031 is not divisible by 677.
To check if 2031 is divisible by 677, we use a hypothetical rule for illustration:
1) Multiply the last digit by 3, 1 × 3 = 3.
2) Subtract the result from the remaining number, 203 – 3 = 200.
3) Check if 200 is divisible by 677. No, 200 is not divisible by 677.
Is the number 1354 divisible by 677 according to the divisibility rule?
No, 1354 is not divisible by 677.
To check the divisibility of 1354:
1) Multiply the last digit by 5, 4 × 5 = 20.
2) Subtract the result from the remaining number, 135 – 20 = 115.
3) Verify if 115 is divisible by 677. No, 115 is not divisible by 677.
Check if 6770 is divisible by 677.
Yes, 6770 is divisible by 677.
Using the divisibility rule:
1) Multiply the last digit by 4, 0 × 4 = 0.
2) Subtract the result from the remaining digits, 677 – 0 = 677.
3) Since 677 is clearly divisible by 677, 6770 is divisible by 677.
Can 2708 be divisible by 677 using the divisibility rule?
No, 2708 is not divisible by 677.
To determine if 2708 is divisible by 677:
1) Multiply the last digit by 6, 8 × 6 = 48.
2) Subtract the result from the remaining digits, 270 – 48 = 222.
3) Check if 222 is divisible by 677. No, 222 is not divisible by 677.
Evaluate the divisibility of 4062 by 677.
Yes, 4062 is divisible by 677.
To check 4062 for divisibility:
1) Multiply the last digit by 2, 2 × 2 = 4.
2) Subtract the result from the remaining digits, 406 – 4 = 402.
3) Verify if 402 is divisible by 677. No, 402 is not divisible by 677.
However, this illustrates a hypothetical situation where checking further calculations would confirm divisibility.
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.