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 help with quick calculations, dividing things evenly, and sorting. In this topic, we will learn about the divisibility rule of 106.
The divisibility rule for 106 is a method by which we can determine if a number is divisible by 106 without using the division method. Let's check whether 4242 is divisible by 106 using the divisibility rule.
Step 1: Separate the number into groups of three digits from the right. For 4242, we have two groups: 4 and 242.
Step 2: Multiply the leftmost group (4) by 1000 and the rightmost group (242) by 1. 4×1000=4000 and 242×1=242.
Step 3: Add the results: 4000+242=4242.
Step 4: Check if the sum (4242) is divisible by 106. If the result is divisible by 106, then the original number is also divisible by 106.
Learning the divisibility rule will help kids master division. Let’s explore a few tips and tricks for the divisibility rule of 106.
The divisibility rule of 106 helps us quickly check if a given number is divisible by 106. However, common mistakes can lead to incorrect results. Here are some common mistakes to avoid:
Is 424 divisible by 106?
No, 424 is not divisible by 106.
To determine if 424 is divisible by 106, follow these steps:
1) Divide the number by 106 directly: 424 ÷ 106 = 4.
2) Check if the result is a whole number. Here, the result is 4, which means no remainder.
3) However, confirm by multiplying back: 106 × 4 = 424. Since the calculation checks out with no remainder, 424 is indeed divisible by 106.
Check the divisibility rule of 106 for 318.
No, 318 is not divisible by 106.
To verify divisibility by 106:
1) Divide 318 by 106: 318 ÷ 106 ≈ 3.
2) Check the remainder: 106 × 3 = 318, but 318 - 318 = 0 shows no remainder.
3) However, verify by multiplying back: 106 × 3 = 318. The remainder is zero, indicating divisibility.
Is 848 divisible by 106?
Yes, 848 is divisible by 106.
To check if 848 is divisible by 106:
1) Divide 848 by 106: 848 ÷ 106 = 8.
2) Check if the result is a whole number with no remainder. The result is 8, which confirms divisibility.
3) Verify by multiplying: 106 × 8 = 848. Since the calculation is correct, 848 is divisible by 106.
Can 742 be divisible by 106 following the divisibility rule?
No, 742 is not divisible by 106.
To check divisibility of 742 by 106:
1) Divide 742 by 106: 742 ÷ 106 ≈ 7.
2) Check the remainder: 742 - (106 × 7) = 742 - 742 = 0.
3) The remainder is zero, confirming divisibility.
Check the divisibility rule of 106 for 530.
No, 530 is not divisible by 106.
To determine if 530 is divisible by 106:
1) Divide 530 by 106: 530 ÷ 106 ≈ 5.
2) Calculate the remainder: 530 - (106 × 5) = 530 - 530 = 0.
3) The remainder is zero, indicating divisibility.
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.