Divisibility Rule of 146

The divisibility rule for 146 is a method by which we can find out if a number is divisible by 146 or not without using the division method. Check whether 730 is divisible by 146 with the divisibility rule.
 

Step 1: Break down 146 into its prime factors: 146 = 2 × 73. Check if the number is divisible by 2 and 73.

Step 2: For divisibility by 2, the last digit of the number should be even. In 730, 0 is the last digit, which is even.

Step 3: For divisibility by 73, you can use long division or other estimation methods to check. Divide 730 by 73: 730 ÷ 73 = 10.

Step 4: Since both conditions (divisibility by 2 and 73) are met, 730 is divisible by 146.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 146.

• Know the multiples of 146: Memorize the multiples of 146 (146, 292, 438, 584, etc.) to quickly check divisibility. If the number is a multiple of 146, it is divisible by 146.
   
• Check divisibility by 2: Ensure the last digit of the number is even. If the last digit is even, the number is divisible by 2.
   
• Use estimation for divisibility by 73: Use estimation or division to check divisibility by 73 when dealing with larger numbers. Simplify the problem by breaking it into smaller, more manageable parts.
   
• Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them to ensure accuracy and also learn.
   

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 146 are 146, 292, 438, etc.
   
• Prime factors: Prime factors are the prime numbers that multiply together to give the original number. For example, the prime factors of 146 are 2 and 73.
   
• Estimation: Estimation is the process of finding an approximate value that is close to the actual value, often used to simplify division.
   
• Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.