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 825.
The divisibility rule for 825 is a method by which we can find out if a number is divisible by 825 or not without using the division method. Check whether 4950 is divisible by 825 with the divisibility rule.
Step 1: Check divisibility by 5. A number is divisible by 5 if it ends in 0 or 5. In 4950, the last digit is 0, so it is divisible by 5.
Step 2: Check divisibility by 3. Add the digits of the number: 4+9+5+0=18. Since 18 is divisible by 3, 4950 is also divisible by 3.
Step 3: Check divisibility by 11. Subtract the sum of alternate digits: (4+5)-(9+0)=9-9=0. Since 0 is divisible by 11, 4950 is divisible by 11.
Step 4: Since 4950 is divisible by 5, 3, and 11, it is also divisible by 825 (5×3×11=825).
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 825.
825 = 5 × 3 × 11 × 5. A number must be divisible by all these factors to be divisible by 825.
- For 5: Check if the number ends in 0 or 5.
- For 3: Check if the sum of the digits is divisible by 3.
- For 11: Subtract the sum of the digits in odd positions from the sum of the digits in even positions. If the result is 0 or a multiple of 11, the number is divisible by 11.
If the number is large, break it down by checking divisibility for each factor separately (5, 3, and 11).
Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
The divisibility rule of 825 helps us quickly check if a given number is divisible by 825, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 1650 divisible by 825?
Yes, 1650 is divisible by 825.
To check if 1650 is divisible by 825, we observe that 825 is half of 1650. Dividing 1650 by 825 gives us 2, which is a whole number, indicating that 1650 is perfectly divisible by 825.
Check the divisibility rule of 825 for 2475.
Yes, 2475 is divisible by 825.
To determine if 2475 is divisible by 825, divide 2475 by 825. The result is 3, which is an integer. Therefore, 2475 is divisible by 825.
Is 3300 divisible by 825?
Yes, 3300 is divisible by 825.
To verify if 3300 is divisible by 825, perform the division 3300 ÷ 825. The quotient is 4, which is an integer. This confirms that 3300 is divisible by 825.
Can 4125 be divisible by 825 following the divisibility rule?
No, 4125 is not divisible by 825.
Checking the divisibility of 4125 by 825 involves dividing 4125 by 825. The result is approximately 5.0, but since it's not a precise integer, 4125 is not divisible by 825.
Check the divisibility rule of 825 for 9075.
Yes, 9075 is divisible by 825.
To check if 9075 is divisible by 825, divide 9075 by 825. The quotient is 11, an integer, confirming that 9075 is divisible by 825.
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.