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 675.
The divisibility rule for 675 is a method by which we can find out if a number is divisible by 675 or not without using the division method.
Check whether 1350 is divisible by 675 with the divisibility rule.
Step 1: Verify if the number is divisible by 5. A number is divisible by 5 if its last digit is either 0 or 5. In 1350, the last digit is 0. Hence, it is divisible by 5.
Step 2: Verify if the number is divisible by 9. A number is divisible by 9 if the sum of its digits is divisible by 9. In 1350, the sum of the digits is 1 + 3 + 5 + 0 = 9, which is divisible by 9.
Step 3: Verify if the number is divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 1350 is 9, which is divisible by 3.
Since 1350 is divisible by 5, 9, and 3, it is divisible by 675.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 675.
The divisibility rule of 675 helps us to quickly check if the given number is divisible by 675, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Is 6750 divisible by 675?
Yes, 6750 is divisible by 675.
To determine if 6750 is divisible by 675, consider the fact that 675 = 5 × 5 × 3 × 3 × 3, and check if 6750 can be evenly divided by these factors.
1) Check divisibility by 25 (5 × 5): The last two digits of 6750 are 50, which is divisible by 25.
2) Check divisibility by 27 (3 × 3 × 3): Sum the digits of 6750 (6 + 7 + 5 + 0 = 18), and since 18 is divisible by 9, 6750 is divisible by 27.
3) Therefore, 6750 is divisible by 675.
Can 13500 be divided by 675 without leaving a remainder?
Yes, 13500 can be divided by 675 without a remainder.
To verify, we need to ensure that 13500 passes the divisibility checks for 25 and 27, as explained above.
1) Divisibility by 25: The last two digits, 00, are divisible by 25.
2) Divisibility by 27: Sum the digits (1 + 3 + 5 + 0 + 0 = 9), and 9 is divisible by 9, confirming divisibility by 27.
3) Therefore, 13500 is divisible by 675.
Is 4725 divisible by 675?
No, 4725 is not divisible by 675.
Check divisibility by 25 and 27.
1) Divisibility by 25: The last two digits, 25, are divisible by 25.
2) Divisibility by 27: Sum the digits (4 + 7 + 2 + 5 = 18), which is divisible by 9, but check 4725 ÷ 27 = 175, which is not an integer.
3) Since 4725 is not divisible by 27, it is not divisible by 675.
Is -5400 divisible by 675?
Yes, -5400 is divisible by 675.
Ignore the negative sign and check the divisibility of 5400.
1) Divisibility by 25: The last two digits, 00, are divisible by 25.
2) Divisibility by 27: Sum the digits (5 + 4 + 0 + 0 = 9), and 9 is divisible by 9, confirming divisibility by 27.
3) Therefore, 5400, and hence -5400, is divisible by 675.
Can 8100 pass the divisibility rule of 675?
Yes, 8100 can pass the divisibility rule of 675.
Check for divisibility by 25 and 27.
1) Divisibility by 25: The last two digits, 00, are divisible by 25.
2) Divisibility by 27: Sum the digits (8 + 1 + 0 + 0 = 9), and 9 is divisible by 9, confirming divisibility by 27.
3) Therefore, 8100 is divisible by 675.
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.