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 767.
The divisibility rule for 767 is a method by which we can find out if a number is divisible by 767 or not without using the division method. Check whether 7670 is divisible by 767 with the divisibility rule.
Step 1: Multiply the last three digits of the number by a specific multiplier, which in this case is 1. Here, in 7670, multiply 670 by 1. 670 × 1 = 670
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits. i.e., 7 - 670 = -663.
Step 3: Since -663 is not a multiple of 767, the number is not divisible by 767. If the result from step 2 is a multiple of 767, then the number is divisible by 767.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 767.
The divisibility rule of 767 helps us to quickly check if the given number is divisible by 767, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Is 2301 divisible by 767?
No, 2301 is not divisible by 767.
To determine if 2301 is divisible by 767, follow these steps:
1) Consider the last digit, 1, and multiply it by 7, resulting in 1 × 7 = 7.
2) Subtract this result from the remaining digits, 230 - 7 = 223.
3) Since 223 is not a multiple of 767, 2301 is not divisible by 767.
Check if 4602 follows the divisibility rule of 767.
Yes, 4602 is divisible by 767.
To check the divisibility of 4602:
1) Take the last digit, 2, and multiply it by 7, which gives 2 × 7 = 14.
2) Subtract this from the remaining digits, 460 - 14 = 446.
3) Since 446 is not immediately recognizable as a multiple of 767, verify with division. 4602 divided by 767 equals exactly 6, confirming divisibility.
Is -1534 divisible by 767?
No, -1534 is not divisible by 767.
To check divisibility for -1534:
1) Ignore the negative sign and use the last digit, 4, multiplying it by 7, resulting in 4 × 7 = 28.
2) Subtract this from the remaining digits, 153 - 28 = 125.
3) Since 125 is not a multiple of 767, -1534 is not divisible by 767.
Can 0 be divisible by 767 following the divisibility rule?
Yes, 0 is divisible by 767.
Any number, including 0, divided by any non-zero integer results in 0, making 0 divisible by 767. There are no steps needed as 0 is universally divisible by all integers.
Check the divisibility rule of 767 for 7670.
Yes, 7670 is divisible by 767.
To verify if 7670 is divisible by 767:
1) Take the last digit, 0, and multiply it by 7, which results in 0 × 7 = 0.
2) Subtract this from the remaining digits, 767 - 0 = 767.
3) Since 767 is clearly a multiple of 767, 7670 is divisible by 767.
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.