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 items. In this topic, we will learn about the divisibility rule of 384.
The divisibility rule for 384 helps us determine if a number is divisible by 384 without using the division method. To check whether a number is divisible by 384, we need to determine if it is divisible by 2, 3, and 8, as 384 is the product of these numbers (384 = 2^7 × 3).
Step 1: Check divisibility by 2. A number is divisible by 2 if its last digit is even.
Step 2: Check divisibility by 3. Add up all the digits of the number, and if the sum is divisible by 3, then the number is divisible by 3.
Step 3: Check divisibility by 8. A number is divisible by 8 if the last three digits form a number that is divisible by 8.
Example: Check whether 768 is divisible by 384.
Step 1: Check divisibility by 2. The last digit of 768 is 8, which is even, so it is divisible by 2.
Step 2: Check divisibility by 3. The sum of the digits of 768 is 7 + 6 + 8 = 21, and 21 is divisible by 3.
Step 3: Check divisibility by 8. The last three digits of 768 are 768, and 768 ÷ 8 = 96, which is an integer. Therefore, 768 is divisible by 8.
Since 768 is divisible by 2, 3, and 8, it is also divisible by 384.
Learning the divisibility rule helps students master division. Let's explore a few tips and tricks for the divisibility rule of 384.
The divisibility rule of 384 allows us to quickly check if a number is divisible by 384, but common mistakes can occur. Here's how to avoid them:
Is 1920 divisible by 384?
Yes, 1920 is divisible by 384.
To determine if 1920 is divisible by 384, follow these steps:
1) Check if 1920 is divisible by 2. The last digit is 0, so it is divisible by 2.
2) Check if 1920 is divisible by 3. Add the digits, 1 + 9 + 2 + 0 = 12, which is divisible by 3.
3) Check if 1920 is divisible by 8. The last three digits are 920, which is not divisible by 8.
Since the divisibility fails at step 3, 1920 is not divisible by 384.
Verify if 3072 is divisible by 384.
Yes, 3072 is divisible by 384.
To confirm divisibility of 3072 by 384, follow these steps:
1) Check if 3072 is divisible by 2. The last digit is 2, so it is divisible by 2.
2) Check if 3072 is divisible by 3. Add the digits, 3 + 0 + 7 + 2 = 12, which is divisible by 3.
3) Check if 3072 is divisible by 8. The last three digits are 072, and 72 is divisible by 8.
Since all conditions are met, 3072 is divisible by 384.
Determine if 576 is divisible by 384.
No, 576 is not divisible by 384.
To check divisibility of 576 by 384, follow these steps:
1) Check if 576 is divisible by 2. The last digit is 6, so it is divisible by 2.
2) Check if 576 is divisible by 3. Add the digits, 5 + 7 + 6 = 18, which is divisible by 3.
3) Check if 576 is divisible by 8. The last three digits are 576, and 576 divided by 8 is 72, which is divisible by 8.
Since all conditions are met, 576 is divisible by 384.
Can 1536 be divisible by 384?
Yes, 1536 is divisible by 384.
To verify divisibility of 1536 by 384, follow these steps:
1) Check if 1536 is divisible by 2. The last digit is 6, so it is divisible by 2.
2) Check if 1536 is divisible by 3. Add the digits, 1 + 5 + 3 + 6 = 15, which is divisible by 3.
3) Check if 1536 is divisible by 8. The last three digits are 536, and 536 divided by 8 is 67, which is divisible by 8.
Since all conditions are met, 1536 is divisible by 384.
Check the divisibility rule of 384 for 2304.
Yes, 2304 is divisible by 384.
To determine if 2304 is divisible by 384, follow these steps:
1) Check if 2304 is divisible by 2. The last digit is 4, so it is divisible by 2.
2) Check if 2304 is divisible by 3. Add the digits, 2 + 3 + 0 + 4 = 9, which is divisible by 3.
3) Check if 2304 is divisible by 8. The last three digits are 304, and 304 divided by 8 is 38, which is divisible by 8.
Since all conditions are met, 2304 is divisible by 384.
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.