Divisibility Rule of 142

The divisibility rule for 142 is a method by which we can determine if a number is divisible by 142 without using the division method. Check whether 35504 is divisible by 142 with the divisibility rule.
 

Step 1: Separate the number into groups of three digits from the right end, here in 35504, the groups are 35 and 504.
 

Step 2: Calculate the difference between these groups. 504 - 35 = 469.
 

Step 3: As 469 is not divisible by 142, therefore, the number is not divisible by 142. If the result from step 2 is a multiple of 142, then the number is divisible by 142.
 

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 142.
 

• Know the multiples of 142: Memorize the multiples of 142 (142, 284, 426, 568, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 142, then the number is divisible by 142.
   
• Use negative numbers: If the result we get after subtraction 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 142.
  
  For example, check if 19968 is divisible by 142 using the divisibility test. Separate into groups: 19 and 968. Subtract: 968 - 19 = 949. Still, 949 needs checking, so separate into groups: 9 and 49. Subtract: 49 - 9 = 40. As 40 is not a multiple of 142, 19968 is not divisible by 142.
   
• Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them to verify and also learn.
   

• Divisibility Rule: A set of rules used to determine whether a number is divisible by another number without performing division.
   
• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 142 are 142, 284, 426, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one number from another.
   
• Difference: The result obtained from subtracting one number from another, used in checking for divisibility.