Divisibility Rule of 897

The divisibility rule for 897 is a method by which we can find out if a number is divisible by 897 or not without using the division method.

Check whether 1794 is divisible by 897 with the divisibility rule.

Step 1: Break down 897 into its prime factors: 897 = 3 × 13 × 23.

Step 2: Check if 1794 is divisible by 3, 13, and 23 using their respective divisibility rules.

Divisibility by 3: The sum of the digits of 1794 is 1+7+9+4 = 21, which is divisible by 3.

Divisibility by 13: Double the last digit (4) and subtract it from the rest of the number: 179 - 8 = 171, which is divisible by 13.

Divisibility by 23: Multiply the last digit by 9 and subtract it from the rest: 179 - 36 = 143, which is divisible by 23.

Step 3: Since 1794 is divisible by 3, 13, and 23, it is divisible by 897.

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 897.

Know the multiples of 897:

Memorize multiples of 897 (897, 1794, 2691, etc.) to quickly check divisibility.

Use the breakdown approach:

Always break down the number into prime factors to simplify checking divisibility.

Repeat the process for large numbers:

For larger numbers, repeat the divisibility checks for each factor until you reach a manageable size.

Use the division method to verify:

Use the division method to verify and cross-check results, reinforcing learning.

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

• Prime factors: Prime numbers that multiply together to give the original number (e.g., 897 = 3 × 13 × 23).

• Multiples: Numbers obtained by multiplying a number by an integer (e.g., multiples of 897 are 897, 1794, etc.).

• Subtraction: The process of taking one number away from another to find the difference.

• Verification: The act of confirming whether a calculation or result is correct, often by using a different method.