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 69.
The divisibility rule for 69 is a method by which we can find out if a number is divisible by 69 or not without using the division method. Check whether 4140 is divisible by 69 with the divisibility rule.
Step 1: Check if the number is divisible by both 3 and 23, as 69 is the product of these two prime numbers.
Step 2: For divisibility by 3, add the digits of the number and check if the sum is divisible by 3. For 4140, 4+1+4+0=9, which is divisible by 3.
Step 3: For divisibility by 23, use the division method or another rule specific to 23, as there is no simple rule for it.
Step 4: Since 4140 is divisible by both 3 and 23, it is divisible by 69.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 69.
The divisibility rule of 69 helps us quickly check if a given number is divisible by 69, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Can 345 be divisible by 69?
No, 345 is not divisible by 69.
To check if 345 is divisible by 69, we'll use a unique approach:
1) Double the last digit and add it to the rest of the number: 5 × 2 = 10, 34 + 10 = 44.
2) Check if 44 is divisible by 69. No, 44 is not divisible by 69.
Is 828 divisible by 69?
Yes, 828 is divisible by 69.
To check if 828 is divisible by 69, follow these steps:
1) Double the last digit and add it to the rest of the number: 8 × 2 = 16, 82 + 16 = 98.
2) Check if 98 is a multiple of 69. No, it's not. However, 828 is divisible by 69 (69 × 12 = 828), confirming the divisibility.
Check the divisibility rule of 69 for 1380.
Yes, -207 is divisible by 69.
To check if -207 is divisible by 69, disregard the negative sign and proceed:
1) Double the last digit and add it to the rest of the number: 7 × 2 = 14, 20 + 14 = 34.
2) Check if 34 is a multiple of 69. No, but -207 is divisible by 69 (-69 × 3 = -207), hence confirming the divisibility.
Is -207 divisible by 69?
Yes, -207 is divisible by 69.
To check if -207 is divisible by 69, disregard the negative sign and proceed:
1) Double the last digit and add it to the rest of the number: 7 × 2 = 14, 20 + 14 = 34.
2) Check if 34 is a multiple of 69. No, but -207 is divisible by 69 (-69 × 3 = -207), hence confirming the divisibility.
Verify if 276 is divisible by 69.
Yes, 276 is divisible by 69.
To check if 276 is divisible by 69:
1) Double the last digit and add it to the rest of the number: 6 × 2 = 12, 27 + 12 = 39.
2) Check if 39 is a multiple of 69. No, but 276 is divisible by 69 (69 × 4 = 276), confirming the 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.