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 329.
The divisibility rule for 329 is a method by which we can find out if a number is divisible by 329 or not without using the division method. Check whether 9887 is divisible by 329 with the divisibility rule.
Step 1: Separate the number into two parts, the last three digits and the remaining digits. For 9887, separate it into 987 and 9.
Step 2: Multiply the last three digits by 1 and the remaining digits by 3. So, 987 × 1 = 987 and 9 × 3 = 27.
Step 3: Add the results from Step 2. 987 + 27 = 1014.
Step 4: Check if the result from Step 3 is divisible by 329. Since 1014 is not a multiple of 329, 9887 is not divisible by 329.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 329.
The divisibility rule of 329 helps us to quickly check if the given number is divisible by 329, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 987 divisible by 329?
Yes, 987 is divisible by 329.
Since 987 is a larger number, let's apply a hypothetical divisibility rule for 329:
Break the number into segments of 3 digits each if possible, starting from the right. Here, it's just 987.
Divide 987 by 329 to see if it results in a whole number.
987 ÷ 329 = 3, which is a whole number, so 987 is divisible by 329.
Check the divisibility rule of 329 for 1974.
Yes, 1974 is divisible by 329.
To check the divisibility of 1974 by 329:
Break the number into two parts: 1 and 974.
Consider a hypothetical rule where we assess if the sum of these parts is divisible by 329.
1 + 974 = 975. Now divide 975 by 329.
975 ÷ 329 = 2.961, which is not a whole number, so this test fails.
However, checking directly 1974 ÷ 329 = 6, which is a whole number, confirming divisibility.
Is -658 divisible by 329?
No, -658 is not divisible by 329.
To check if -658 is divisible by 329:
Remove the negative sign and consider the absolute value 658.
Directly divide 658 by 329.
658 ÷ 329 = 2, which is a whole number, so 658 is divisible by 329, but considering the negative, -658 is not divisible by the positive 329 without remainder in this hypothetical rule set.
Can 329 itself be divisible by 329 following the divisibility rule?
Yes, 329 is divisible by 329.
Any number is divisible by itself:
Since 329 divided by 329 equals 1, which is a whole number, 329 is divisible by itself.
Check the divisibility rule of 329 for 2632.
Yes, 2632 is divisible by 329.
To check the divisibility of 2632 by 329:
Divide 2632 by 329 directly.
2632 ÷ 329 = 8, which is a whole number, confirming that 2632 is divisible by 329.
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.