Divisibility Rule of 423

The divisibility rule for 423 is a method by which we can find out if a number is divisible by 423 or not without using the division method. Check whether 846 is divisible by 423 with the divisibility rule.

 
Step 1: Check the divisibility of the number by its prime factors. The prime factors of 423 are 3, 47, and 3. 

Step 2: Check if the number is divisible by 3. A number is divisible by 3 if the sum of its digits is a multiple of 3. For 846, the sum of the digits is 8+4+6=18, which is a multiple of 3.

Step 3: Check if the number is divisible by 47. This can be done by performing the division method or a special rule for 47.

Step 4: If the number is divisible by both 3 and 47, then it is divisible by 423.

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 423.

Know the prime factors:

Memorize the prime factors of 423 (3 and 47) to quickly check divisibility. The number must be divisible by both 3 and 47.

Use the sum of digits for 3:

If the sum of the digits is a multiple of 3, then the number is divisible by 3.

Verify with 47:

Learn a shortcut method or use division for checking divisibility by 47.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for each factor until they reach a conclusion. For example, check if 1692 is divisible by 423. The sum of the digits is 1+6+9+2=18, which is divisible by 3. Now check if 1692 is divisible by 47. If both conditions are met, then 1692 is divisible by 423.

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 to verify and also learn.
 

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
   
• Prime factors: The prime numbers that multiply together to give the original number. For 423, the prime factors are 3 and 47.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer.
   
• Sum of digits: The total obtained by adding all the individual digits of a number together.
   
• Division method: A mathematical process used to determine how many times one number is contained within another.