Divisibility Rule of 69

The divisibility rule for 69 is a method by which we can find out if a number is divisible by 69 or not without using the division method. Check whether 4140 is divisible by 69 with the divisibility rule.  

Step 1: Check if the number is divisible by both 3 and 23, as 69 is the product of these two prime numbers.

Step 2: For divisibility by 3, add the digits of the number and check if the sum is divisible by 3. For 4140, 4+1+4+0=9, which is divisible by 3.

Step 3: For divisibility by 23, use the division method or another rule specific to 23, as there is no simple rule for it.

Step 4: Since 4140 is divisible by both 3 and 23, it is divisible by 69.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 69.

• Know the factors: Memorize the factors of 69, which are 3 and 23, to quickly check divisibility. If a number is divisible by both 3 and 23, then it is divisible by 69.

• Use addition for 3: For divisibility by 3, add all the digits of the number and check if the result is divisible by 3.

• Repeat the process for large numbers: Students should keep repeating the divisibility process for both 3 and 23 until they reach a conclusion about divisibility by 69.

• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and learn.

• Divisibility Rule: A set of rules used to determine whether a number is divisible by another number without performing the actual division.

• Factors: Numbers that can multiply together to get another number. For example, the factors of 69 are 3 and 23.

• Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 69 are 69, 138, 207, etc.

• Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 3 and 23 are prime numbers.

• Division Method: A mathematical procedure used to determine how many times one number is contained within another.