Last updated on May 26th, 2025
The divisibility rule is a method to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 812.
The divisibility rule for 812 is a technique to determine if a number is divisible by 812 without performing the division. Check whether 8120 is divisible by 812 using the divisibility rule.
Step 1: Divide the number by its factors. For 812, the factors are 2, 4, 101, and 203. Check divisibility by each factor:
8120 ends in 0, so it is divisible by 2.
The last two digits, 20, are divisible by 4.
For 101, sum the digits: 8+1+2+0=11, which is not divisible by 101.
For 203, apply the rule of 203: double the last digit (0×2=0) and subtract it from the rest (812–0=812), which is divisible by 203.
Since 8120 is not divisible by 101, it is not divisible by 812.
Learning the divisibility rule helps kids master division. Here are a few tips and tricks for the divisibility rule of 812.
Memorize the factors of 812 (2, 4, 101, 203) to quickly check divisibility. If a number is divisible by all these factors, it is divisible by 812.
812 = 2^2 × 203. If a number is divisible by 2 twice (or by 4) and by 203, it is divisible by 812.
Keep repeating the divisibility test for each factor until you confirm divisibility by 812.
Students can use the division method to verify and crosscheck their results, ensuring accuracy.
The divisibility rule of 812 helps us quickly check if a number is divisible by 812, but common mistakes can lead to incorrect calculations. Here, we will understand some common mistakes and how to avoid them.
Can 8120 be divided evenly by 812?
Yes, 8120 is divisible by 812.
To determine if 8120 is divisible by 812, we follow these steps:
1) Divide 8120 by 812: 8120 ÷ 812 = 10.
2) The result is an integer, so 8120 is divisible by 812.
Is 1624 divisible by 812?
Yes, 1624 is divisible by 812.
To verify if 1624 is divisible by 812:
1) Divide 1624 by 812: 1624 ÷ 812 = 2.
2) The quotient is a whole number, confirming that 1624 is divisible by 812.
Check if 2436 can be divided by 812 without a remainder.
Yes, 2436 is divisible by 812.
For 2436:
1) Divide 2436 by 812: 2436 ÷ 812 = 3.
2) Since the result is an integer, 2436 is divisible by 812.
Verify if 4056 is divisible by 812.
No, 4056 is not divisible by 812.
To check if 4056 is divisible by 812:
1) Divide 4056 by 812: 4056 ÷ 812 ≈ 5.000 (not an integer).
2) The result is not a whole number, indicating that 4056 is not divisible by 812.
Determine if 9744 is divisible by 812.
Yes, 9744 is divisible by 812.
For 9744:
1) Divide 9744 by 812: 9744 ÷ 812 = 12.
2) The quotient is a whole number, showing that 9744 is divisible by 812.
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.