Divisibility Rule of 63

The divisibility rule for 63 allows us to determine if a number is divisible by 63 without using division. Check whether 756 is divisible by 63 using the divisibility rule.

Step 1: Check if the number is divisible by both 7 and 9, as 63 is the product of these two numbers.

Step 2: To check divisibility by 7, multiply the last digit by 2 and subtract it from the rest of the number. For 756, multiply 6 by 2 to get 12 and subtract from 75 to get 63, which is divisible by 7.

Step 3: To check divisibility by 9, add all the digits of the number. For 756, the sum is 7 + 5 + 6 = 18, which is divisible by 9.

Since 756 is divisible by both 7 and 9, it is divisible by 63.

Understanding divisibility rules will help improve division skills. Here are some tips and tricks for the divisibility rule of 63:

Know the multiples of 63:

Memorize multiples of 63 (63, 126, 189, 252, etc.) to quickly verify divisibility.

Use negative numbers:

If after subtraction the result is negative, consider it as positive to check divisibility.

Repeat the process for large numbers:

If the number is large, repeat the divisibility check for both 7 and 9 until reaching a smaller number.

Use the division method to verify:

Use the division method to confirm and crosscheck results for better understanding.

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

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 63 are 63, 126, 189, etc.

• Integers: Numbers including whole numbers, negative numbers, and zero.

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

• Product: The result of multiplying two numbers. For example, the product of 7 and 9 is 63.