Divisibility Rule of 145

The divisibility rule for 145 is a method by which we can find out if a number is divisible by 145 or not without using the division method. Check whether 4355 is divisible by 145 with the divisibility rule.
 

Step 1: Separate the last two digits of the number, here in 4355, 55 is the last two digits.
 

Step 2: Multiply the rest of the number by 3, i.e., 43 × 3 = 129.
 

Step 3: Add the result from Step 2 to the last two digits. i.e., 129 + 55 = 184.
 

Step 4: As it is shown that 184 is not a multiple of 145, the number is not divisible by 145. If the result from step 3 is a multiple of 145, then the number is divisible by 145.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 145.

• Know the multiples of 145: Memorize the multiples of 145 (145, 290, 435...etc.) to quickly check the divisibility. If the result from the addition is a multiple of 145, then the number is divisible by 145.
   
• Use the negative numbers: If the result we get after the addition is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 145.
  
  For example: Check if 8705 is divisible by 145 using the divisibility test. Separate the last two digits, which are 05. Multiply the remaining digits by 3, i.e., 87 × 3 = 261. Add 05 to 261, which gives 266. 266 is not a multiple of 145, so 8705 is not divisible by 145.
   
• 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 also learn.
   

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 145 if it meets the conditions specified for the rule.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 145 are 145, 290, 435, etc.
   
• Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
   
• Addition: Addition is a process of finding out the sum of two numbers by combining them.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.