Divisibility Rule of 153

The divisibility rule for 153 is a method by which we can find out if a number is divisible by 153 or not without using the division method. To check whether 306 is divisible by 153 with the divisibility rule, follow these steps:

Step 1: Check if the number is divisible by both 9 and 17, as 9 and 17 are factors of 153.

Step 2: For divisibility by 9, sum the digits of the number. For 306, add 3 + 0 + 6 = 9. Since 9 is a multiple of 9, 306 is divisible by 9.

Step 3: For divisibility by 17, divide the number by 17 to check if it leaves no remainder. 306 ÷ 17 = 18 with no remainder. Therefore, 306 is divisible by 17.

Step 4: Since 306 is divisible by both 9 and 17, it is also divisible by 153.
 

Learning the divisibility rule will help students master the division. Let's learn a few tips and tricks for the divisibility rule of 153.
 

• Know the multiples of 153: Memorize the multiples of 153 (153, 306, 459, 612, etc.) to quickly check the divisibility.
   
• Test divisibility by factors: Check the divisibility by both 9 and 17 as 153 is the product of these numbers.
   
• Repeat the process for large numbers: If you're dealing with large numbers, break them down into smaller parts and check each part for divisibility by both 9 and 17.
   
• Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
   

• Divisibility rule: The set of guidelines used to determine if a number can be divided by another number without a remainder.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 153 are 153, 306, 459, etc.
   
• Factors: Numbers that evenly divide another number. For 153, the factors are 9 and 17.
   
• Remainder: The amount left over after division when one number doesn't divide another exactly.
   
• Integer: A whole number that can be positive, negative, or zero.