Divisibility Rule of 852

The divisibility rule for 852 is a method by which we can find out if a number is divisible by 852 or not without using the division method. Check whether 1704 is divisible by 852 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 71 (since 852 = 2 × 3 × 71).

Step 2: 1704 ends in 4, which is even, so it is divisible by 2.

Step 3: Add the digits of 1704 (1 + 7 + 0 + 4 = 12). Since 12 is divisible by 3, 1704 is divisible by 3.

Step 4: Now, check divisibility by 71. This is more complex, so for simplicity, you may need to use a calculator or division for this step.

Step 5: If 1704 is divisible by 71, then it is divisible by 852. In this case, 1704 is not divisible by 71, so it is not divisible by 852.

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 852.

1. Know the prime factors:

Memorize the prime factors of 852 (2, 3, and 71) to quickly check divisibility

2. Use divisibility rules for smaller numbers:

Check divisibility by 2 and 3 easily using their rules, and then proceed to 71.

3. Repeat the process for large numbers:

For large numbers, break them down and check divisibility for each factor. If a number is large, use a calculator for checking divisibility by 71

4. Verify using division:

Use the division method to verify and crosscheck results. This will help in learning and confirming divisibility.

• Divisibility Rule: A method to determine if one number is divisible by another without performing full division.

• Prime Factors: The prime numbers that multiply together to give the original number (e.g., 2, 3, and 71 for 852).

• Remainder: The amount left over after division when one number doesn't divide the other exactly.

• Integer: A whole number that can be positive, negative, or zero.

• Multiples: Numbers obtained by multiplying a given number by integers (e.g., multiples of 852 are 852, 1704, 2556...).