Divisibility Rule of 156

The divisibility rule for 156 is a method to find out if a number is divisible by 156 without using the division method. Let's check whether 18720 is divisible by 156 using the divisibility rule.

Step 1: Check if the number is divisible by 3, 4, and 13, as 156 is the product of these numbers (3 × 4 × 13 = 156).

Step 2: For divisibility by 3, sum all the digits. If the sum is a multiple of 3, the number is divisible by 3. In 18720, the sum is 1 + 8 + 7 + 2 + 0 = 18, which is divisible by 3.

Step 3: For divisibility by 4, check the last two digits. If they form a number divisible by 4, then the entire number is divisible by 4. Here, 20 is divisible by 4.

Step 4: For divisibility by 13, use the rule where you take the last digit, multiply it by 9, and subtract from the rest of the number. If the result is divisible by 13, then the number is divisible by 13. Here, multiply 0 by 9 and subtract from 1872, giving 1872, which is divisible by 13.

Since 18720 is divisible by 3, 4, and 13, it is also divisible by 156.
 

Learn the divisibility rule to help master division. Let's explore a few tips and tricks for the divisibility rule of 156.

• Know the factors: Understand that 156 is the product of 3, 4, and 13. Check divisibility by these factors.
   
• Sum of digits for 3: Remember, if the sum of a number's digits is a multiple of 3, the number is divisible by 3.
   
• Last two digits for 4: Only the last two digits matter for divisibility by 4.
   
• Special rule for 13: Multiply the last digit by 9 and subtract from the remaining number to check for divisibility by 13.
   
• Verify with division: Use the division method to confirm and cross-check results.
   

• Divisibility rule: A set of guidelines used to determine if one number is divisible by another without performing division.
   
• Factors: Numbers that multiply together to form another number. For 156, the factors are 3, 4, and 13.
   
• Multiples: The result of multiplying a number by an integer. For example, multiples of 156 include 156, 312, etc.
   
• Sum of digits: The total obtained by adding all the digits of a number, used to check divisibility by 3.
   
• Subtraction: The process of taking one number away from another, used in the rule for divisibility by 13.