Divisibility Rule of 12 Last Updated : 24 Apr, 2025 Comments Improve Suggest changes Like Article Like Report The divisibility test for 12 helps quickly determine whether a number can be divided by 12 without a remainder. This test is particularly useful when simplifying large numbers in mathematical problems, as it saves time by avoiding long division. Understanding this rule can make working with multiples of 12 much easier.Divisibility rule for 12 states that a number is divisible by 12 if it meets the following two conditions:Divisibility by 3: The sum of the digits of the number must be divisible by 3.Divisibility by 4: The last two digits of the number must form a number that is divisible by 4.If the number satisfies both conditions, then the original number is divisible by 12.Other Divisibility Rules:Divisibility Rule for 3Divisibility Rule for 7Divisibility Rules of 11Divisibility Rules of 13Solved Examples on Divisibility Rule of 12Example 1: Check if 1230 is divisible by 12Solution:Check divisibility by 3: The sum of the digits is 1 + 2 + 3 + 0 = 6.Since 6 is divisible by 3, 1230 is also divisible by 3.Check divisibility by 4: The last two digits are 30.Since 30 ÷ 4 = 7.530 (which is not a whole number), 1230 is not divisible by 4.Since 1230 is not divisible by 4, it is not divisible by 12.Example 2: Check if 936 is divisible by 12Solution:Check divisibility by 3: The sum of the digits is 9 + 3 + 6 = 18.Since 18 is divisible by 3, 936 is also divisible by 3.Check divisibility by 4: The last two digits are 36.Since 36÷4=93 (which is a whole number), 936 is divisible by 4.Since 936 is divisible by both 3 and 4 , it is divisible by 12.Also Check: Practice Questions on Divisibility Rules.Worksheet on Divisibility by 12 Rule You can download free worksheet on Divisibility Rule of 12 from below:Download Free PDF on Divisibility Rule of 12 Comment More infoAdvertise with us Next Article Divisibility Rule of 12 S surajb1g23 Follow Improve Article Tags : Mathematics School Learning Maths Arithmetic Similar Reads Divisibility Rule of 11 Divisibility Rule of 11 is the rule to check if a number is completely divisible by 11. It saves time by checking the divisibility of a number by 11 without doing the actual division.According to the divisibility rule of 11, if the difference between the sum of the digits in a number at odd and even 9 min read Divisibility Rule of 19 The divisibility rule for 19 states that a number is divisible by 19 if the following condition is met:Divisibility by 19: To determine if a number is divisible by 19, Step 1:Double the last digit.Step 2: Add this doubled value to the remaining parts of the number.Step 3: Check if the result is divi 3 min read Divisibility Rule of 23 Divisibility rules are simple shortcuts that help determine if one number is divisible by another without performing full division. The divisibility rule for 23 helps us quickly determine if a number is divisible by 23 without needing to perform long division.Divisibility Rule of 23:Take the number' 5 min read Divisibility Rule of 29 Divisibility rules are simple shortcuts that help determine if one number is divisible by another without performing full division. The divisibility rule for 29 helps us quickly determine if a number is divisible by 29 without needing to perform long division.Divisibility Rule of 29:Take the number' 4 min read Divisibility Rule of 17 The divisibility rule for 17 states that a number is divisible by 17 if the following condition holds:Divisibility by 17: To check divisibility by 17,Step 1: Multiply the last digit by 5.Step 2: Subtract this product from the remaining digits of the number.Step 3: Check if the result is divisible by 3 min read Like