Divisibility Rule of 672

The divisibility rule for 672 is a method by which we can find out if a number is divisible by 672 or not without using the division method.

Let's check whether 1344 is divisible by 672 using the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 7 (since 672 = 2^5 × 3 × 7).

For divisibility by 2: The number must be even. 1344 is even, so it passes this check.

For divisibility by 3: Sum the digits of the number; if the sum is divisible by 3, so is the number. 1 + 3 + 4 + 4 = 12, which is divisible by 3.

For divisibility by 7: Take the last digit, double it, and subtract from the rest of the number. 134 - 8 = 126; since 126 is divisible by 7, so is 1344.
 

Step 2: Since 1344 is divisible by 2, 3, and 7, it is divisible by 672.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 672.

• Know the multiples of 672: Memorize the multiples of 672 (672, 1344, 2016, etc.) to quickly check divisibility. If a number is a multiple of 672, then it is divisible by 672.

• Combine divisibility rules: To check divisibility by 672, verify divisibility by 2, 3, and 7. If a number passes all these checks, it is divisible by 672.

• Repeat the divisibility checks for large numbers: For large numbers, verify divisibility by 2, 3, and 7 repeatedly until a conclusion is reached.

• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This helps reinforce understanding.

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

• Multiple: A number that can be divided by another number without leaving a remainder. For example, multiples of 672 include 672, 1344, etc.

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

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

• Even Number: A number divisible by 2 without a remainder.