What is the Divisibility Rule of 636?

The divisibility rule for 636 provides a method to ascertain if a number is divisible by 636 without traditional division. Let's check whether 1272 is divisible by 636 using this rule.

Step 1: Check if the number is divisible by 2, 3, and 53, as these are the factors of 636. First, determine if the number is even, which means it is divisible by 2. Here, 1272 is even, so it passes this test.

Step 2: Sum the digits of the number and check if the sum is divisible by 3. For 1272, the sum is 1+2+7+2=12. Since 12 is divisible by 3, 1272 passes this test.

Step 3: Check divisibility by 53 using division or a calculated method. Divide 1272 by 53, and if it results in an integer, then the number passes this test. 1272 ÷ 53 = 24, which is an integer.

Step 4: Since 1272 is divisible by 2, 3, and 53, it is divisible by 636.

Understanding the divisibility rule can help students excel in division. Here are some tips and tricks for the divisibility rule of 636.

Know the factors of 636:

Memorize the factors of 636 (2, 3, and 53) to quickly apply the divisibility test.

Use division when necessary:

If unsure about divisibility, use division to confirm the result.

Repeat the process for larger numbers:

For larger numbers, verify divisibility by each factor of 636 to ensure accuracy.

Use multiplication to verify:

After determining divisibility, multiply the quotient by 636 to see if it matches the original number.

Practice regularly:

Regular practice helps in remembering and applying the rule efficiently.

• Divisibility rule: A set of rules to determine if a number can be divided by another without remainder.

• Factors: Numbers that can be multiplied together to get another number; for 636, these are 2, 3, and 53.

• Even number: A number divisible by 2, such as 2, 4, 6, etc.

• Integer: Whole numbers, including negative numbers and zero.

• Sum of digits: The total obtained by adding all the digits of a number.