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 769.
The divisibility rule for 769 is a method by which we can find out if a number is divisible by 769 or not without using the division method. Let's check whether 1538 is divisible by 769 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. In 1538, 8 is the last digit, so multiply it by 2. 8 × 2 = 16.
Step 2: Subtract the result from Step 1 from the remaining digits, excluding the last digit. i.e., 153–16 = 137.
Step 3: As it is shown that 137 is not a multiple of 769, the number 1538 is not divisible by 769. If the result from step 2 is a multiple of 769, then the number is divisible by 769.
Learning the divisibility rule will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 769.
The divisibility rule of 769 helps us to quickly check if the given number is divisible by 769, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 2307 divisible by 769?
Yes, 2307 is divisible by 769.
To check if 2307 is divisible by 769, we can use the divisibility rule for 769.
1) Consider the last three digits of the number, which are 307.
2) Subtract 307 from the number, 2307 - 307 = 2000.
3) Check if 2000 is divisible by 769. Yes, 2000 is divisible by 769 (769 x 2 = 1538 and 1538 + 462 = 2000).
Check the divisibility rule of 769 for 1538.
Yes, 1538 is divisible by 769.
For checking the divisibility of 769 for 1538:
1) Consider the last three digits, which are 538.
2) Subtract 538 from 1538, 1538 - 538 = 1000.
3) Check if 1000 is divisible by 769. Yes, 1000 is not exactly divisible by 769, but if we add 769 to 538, it becomes 1538, meaning 1538 is divisible by 769.
Is -3076 divisible by 769?
Yes, -3076 is divisible by 769.
To determine if -3076 is divisible by 769, ignore the negative sign and proceed:
1) Consider the last three digits, which are 076 (or 76).
2) Subtract 76 from 3076, 3076 - 76 = 3000.
3) Check if 3000 is divisible by 769. Yes, 3000 is divisible by 769 (769 x 3 = 2307 and 2307 + 769 = 3076).
Can 1540 be divisible by 769 following the divisibility rule?
No, 1540 isn't divisible by 769.
To check if 1540 is divisible by 769:
1) Consider the last three digits, which are 540.
2) Subtract 540 from 1540, 1540 - 540 = 1000.
3) Check if 1000 is divisible by 769. No, 1000 isn't divisible by 769 without a remainder.
Check the divisibility rule of 769 for 2307.
Yes, 2307 is divisible by 769.
To check the divisibility rule of 769 for 2307:
1) Consider the last three digits, which are 307.
2) Subtract 307 from 2307, 2307 - 307 = 2000.
3) Check if 2000 is divisible by 769. Yes, 2000 is divisible by 769 (769 x 2 = 1538 and 1538 + 462 = 2000).
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.