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.

Know the factors 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.

Use prime factorization:

812 = 2^2 × 203. If a number is divisible by 2 twice (or by 4) and by 203, it is divisible by 812.

Repeat the process for large numbers:

Keep repeating the divisibility test for each factor until you confirm divisibility by 812.

Use division method to verify:

Students can use the division method to verify and crosscheck their results, ensuring accuracy.

• Divisibility rule: A set of guidelines to determine if one number is divisible by another without division.

• Factors: Numbers that can be multiplied together to get another number. For example, factors of 812 are 2, 4, 101, and 203.

• Prime factorization: Breaking down a number into its prime number components. For example, 812 = 2^2 × 203.

• Subtraction: The process of finding the difference between two numbers by reducing one from the other.

• Multiples: Numbers obtained by multiplying a given number by integers. For example, multiples of 812 are 812, 1624, 2436, etc.