Divisibility Rule of 32

The divisibility rule for 32 is a method by which we can find out if a number is divisible by 32 or not without using the division method. Check whether 1024 is divisible by 32 with the divisibility rule.  

Step 1: Look at the last five digits of the number. If the number has fewer than five digits, consider the entire number. In 1024, we consider all the digits since it has fewer than five digits.

Step 2: Check if this number (1024) is divisible by 32. Since 1024 is equal to 32 × 32, it is divisible by 32.

Step 3: If the result from Step 2 is a multiple of 32, then the number is divisible by 32. If not, the number is not divisible by 32.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 32.

• Know the multiples of 32: Memorize the multiples of 32 (32, 64, 96, 128, 160, etc.) to quickly check divisibility. If the result from the checking is a multiple of 32, then the number is divisible by 32.
   
• Practice with smaller numbers: Start with smaller numbers to get comfortable with identifying multiples of 32.
   
• Understand binary representation: Since 32 is a power of 2 (2^5), numbers that are divisible by 32 will have at least five trailing zeros in their binary representation.
   
• 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 to 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 32 if the last five digits are divisible by 32.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 32 are 32, 64, 96, 128, etc.
   
• Binary Representation: The expression of numbers in base-2 numeral system, which uses only two symbols: 0 and 1.
   
• Trailing Zeros: Zeros at the end of a number after which no other digits follow, especially in binary representation.
   
• Integer: Integers are the numbers that include all whole numbers, negative numbers, and zero.