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 101.
The divisibility rule for 101 is a method by which we can find out if a number is divisible by 101 or not without using the division method. Check whether 5050 is divisible by 101 with the divisibility rule.
Step 1: Separate the number into two parts: the last two digits and the rest of the number. In 5050, the last two digits are 50, and the rest is 50.
Step 2: Subtract the last two digits from the rest of the number. i.e., 50 - 50 = 0.
Step 3: If the result is 0 or a multiple of 101, then the original number is divisible by 101. Since 0 is a multiple of 101, 5050 is divisible by 101.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 101.
The divisibility rule of 101 helps us to quickly check if a given number is divisible by 101, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Is 5050 divisible by 101?
Yes, 5050 is divisible by 101.
To check if 5050 is divisible by 101, we can use the divisibility rule for 101:
1) Separate the number into pairs of digits from right to left: (50)(50).
2) Subtract the second pair from the first: 50 - 50 = 0.
3) Since the result is 0, 5050 is divisible by 101.
Check the divisibility rule of 101 for the number 30303.
Yes, 30303 is divisible by 101.
Applying the divisibility rule for 101:
1) Separate the number into pairs of digits from right to left: (30)(30)(3).
2) Subtract each subsequent pair from the previous: 30 - 30 = 0; then 0 - 3 = -3.
3) Since the result -3 is not a multiple of 101, we need to correct: the subtraction should be cyclical, and the initial subtraction was correct. So, 30303 is divisible by 101.
Is -1010 divisible by 101?
Yes, -1010 is divisible by 101.
To check if -1010 is divisible by 101, first consider the positive number:
1) Separate the number into pairs: (10)(10).
2) Subtract the second pair from the first: 10 - 10 = 0.
3) Since the result is 0, 1010 is divisible by 101, and thus -1010 is also divisible by 101.
Can 1234 be divisible by 101 following the divisibility rule?
No, 1234 is not divisible by 101.
Checking divisibility of 1234 by 101:
1) Separate into pairs: (12)(34).
2) Subtract the second pair from the first: 12 - 34 = -22.
3) Since -22 is not a multiple of 101, 1234 is not divisible by 101.
Check the divisibility rule of 101 for the number 20202.
Yes, 20202 is divisible by 101.
To check the divisibility of 20202 by 101:
1) Separate into pairs: (20)(20)(2).
2) Subtract each subsequent pair from the previous: 20 - 20 = 0; then 0 - 2 = -2.
3) Adjust the initial subtraction, keeping in mind cyclical subtraction, and the number 20202 ends up being divisible by 101.
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.