Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, divisibility rules are useful for quick calculations, evenly distributing items, and sorting. In this topic, we will learn about the divisibility rule of 756.
The divisibility rule for 756 helps us determine if a number is divisible by 756 without performing division. Let's check whether 1512 is divisible by 756 using this rule.
Step 1: Check the divisibility of the number by 2, 3, and 7, the prime factors of 756. If a number is divisible by all these prime factors, it is divisible by 756.
For divisibility by 2: The last digit of 1512 is 2, which is even. Thus, 1512 is divisible by 2.
For divisibility by 3: Add the digits of 1512 (1 + 5 + 1 + 2 = 9). Since 9 is divisible by 3, 1512 is divisible by 3.
For divisibility by 7: Double the last digit and subtract it from the rest of the number. Here, double the last digit (2 × 2 = 4) and subtract from 151 (151 - 4 = 147). Since 147 is divisible by 7, 1512 is divisible by 7.
Step 2: Since 1512 is divisible by 2, 3, and 7, it is divisible by 756.
Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 756.
Memorize the prime factors of 756 (2, 3, 7) and their multiples to quickly check divisibility.
If dealing with large numbers, apply the divisibility rules for 2, 3, and 7 repeatedly until confirming divisibility.
Students can use the division method as a way to verify and cross-check their results, reinforcing their learning.
The divisibility rule of 756 helps us quickly check if a number is divisible by 756, but common mistakes like calculation errors can lead to incorrect results. Here are some common mistakes and solutions.
Is 1512 divisible by 756?
Yes, 1512 is divisible by 756.
To check if 1512 is divisible by 756, we need to see if dividing 1512 by 756 results in an integer.
1) Perform the division: 1512 ÷ 756 = 2.
2) Since the result is an integer, 1512 is divisible by 756.
Check the divisibility rule of 756 for 3024.
Yes, 3024 is divisible by 756.
For checking the divisibility rule of 756 for 3024, follow these steps:
1) Divide 3024 by 756: 3024 ÷ 756 = 4.
2) The result is an integer, confirming that 3024 is divisible by 756.
Is 4536 divisible by 756?
Yes, 4536 is divisible by 756.
To check if 4536 is divisible by 756:
1) Divide 4536 by 756: 4536 ÷ 756 = 6.
2) The result is an integer, which means 4536 is divisible by 756.
Can 5000 be divisible by 756 following the divisibility rule?
No, 5000 isn't divisible by 756.
To check if 5000 is divisible by 756:
1) Divide 5000 by 756: 5000 ÷ 756 ≈ 6.613.
2) The result is not an integer, so 5000 isn't divisible by 756.
Check the divisibility rule of 756 for 9072.
Yes, 9072 is divisible by 756.
To verify the divisibility of 9072 by 756:
1) Divide 9072 by 756: 9072 ÷ 756 = 12.
2) Since the result is an integer, 9072 is divisible by 756.
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.