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 768.
The divisibility rule for 768 helps us determine if a number is divisible by 768 without using the division method. Check whether 3072 is divisible by 768 using the divisibility rule.
Step 1: Check if the number is divisible by 2 three times, 3, 0, 7, and 2 are all even, so it passes the divisibility rule for 2 three times.
Step 2: Check if the sum of the digits is divisible by 3. For 3072, the sum is 3+0+7+2=12, which is divisible by 3.
Step 3: Check if the number is divisible by 4 twice. Since 3072 ends in 72, we check 72, which is divisible by 4 once, and 18 (from 72/4) is also divisible by 4.
Therefore, 3072 is divisible by 768.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 768.
The divisibility rule of 768 helps us quickly check if a given number is divisible by 768, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 2304 divisible by 768?
Yes, 2304 is divisible by 768.
To check if 2304 is divisible by 768, we can divide the number directly:
1) Divide 2304 by 768, which results in exactly 3.
2) Since the quotient is an integer, 2304 is divisible by 768.
Can 1536 be divided by 768 without a remainder?
Yes, 1536 is divisible by 768.
To verify, follow these steps:
1) Divide 1536 by 768, which equals 2.
2) Since 1536 divided by 768 gives an integer, 1536 is divisible by 768.
Is 192 divisible by 768?
No, 192 is not divisible by 768.
To check:
1) Divide 192 by 768.
2) The result is a non-integer (0.25), indicating that 192 is not divisible by 768.
Check if 3072 follows the divisibility rule for 768.
Yes, 3072 is divisible by 768.
To confirm, proceed with:
1) Divide 3072 by 768, which results in 4.
2) As the quotient is an integer, 3072 is divisible by 768.
Evaluate if 384 is divisible by 768.
No, 384 is not divisible by 768.
To verify:
1) Divide 384 by 768.
2) The result is a non-integer (0.5), showing that 384 is not divisible by 768.
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.