Divisibility Rule of 656

The divisibility rule for 656 is a method by which we can find out if a number is divisible by 656 or not without using the division method.

Check whether 1312 is divisible by 656 with the divisibility rule.

Step 1: Check if the number is divisible by 8 and 82 since 656 = 8 × 82.

Step 2: A number is divisible by 8 if the last three digits form a number that is divisible by 8. In 1312, the last three digits are 312, which is divisible by 8 (312 ÷ 8 = 39).

Step 3: A number is divisible by 82 if the digits of the number sum to a number that is divisible by 82. In 1312, 1+3+1+2 = 7, which is not divisible by 82.

Step 4: Since 1312 is divisible by 8 but not by 82, it is not divisible by 656.

Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 656.

• Know the multiples of 656: Memorize the multiples of 656 (656, 1312, 1968, etc.) to quickly check divisibility. If a number matches one of these multiples, it is divisible by 656.
   
• Use the component divisibility: Since 656 = 8 × 82, check divisibility by both 8 and 82. A number must be divisible by both to be divisible by 656.
   
• Repeat the process for large numbers: For large numbers, break them down and repeatedly check divisibility by 8 and 82 until reaching a conclusion.
   
• 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 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 656 are 656, 1312, 1968, etc.
   
• Integer: Numbers that include all whole numbers, negative numbers, and zero.
   
• Sum of digits: The total obtained by adding all the digits of a number.
   
• Component divisibility: Checking divisibility by individual factors of a composite number to determine divisibility by the entire number.