Divisibility Rule of 616

The divisibility rule for 616 is a method by which we can find out if a number is divisible by 616 or not without using the division method. Check whether 7392 is divisible by 616 with the divisibility rule.

Step 1: Check if the number is divisible by 8 and 77. This is because 616 = 8 × 77.

Step 2: For divisibility by 8, check the last three digits of the number. If they form a number divisible by 8, then the number is divisible by 8. Here, the last three digits of 7392 are 392, and 392 ÷ 8 = 49 with no remainder, so 7392 is divisible by 8.

Step 3: For divisibility by 77, check if the number is divisible by both 7 and 11. Use the divisibility rules for 7 and 11 to verify. For 7, using the divisibility rule, 7392 gives 7 + 3 × 2 - 9 = 2, which is divisible by 7. For 11, the alternating sum of the digits is 7 - 3 + 9 - 2 = 11, which is divisible by 11.

Step 4: Since 7392 is divisible by both 8 and 77, it is divisible by 616.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 616.

• Know the factors of 616: Memorize that 616 = 8 × 77 to easily remember the divisibility rule.

• Verify divisibility by smaller numbers: First, check if the number is divisible by 8 and 77 separately.

• Use known divisibility rules: Apply known rules for divisibility, such as those for 8, 7, and 11.

• Repeat the process for large numbers: Students should keep repeating the divisibility process with smaller components (like 8 and 77) until they verify divisibility.

• Use the division method to verify: Students can use the division method to verify and crosscheck their results, which will help them learn and confirm their answers.

• Divisibility rule: A set of rules used to determine if one number is divisible by another without performing full division.

• Factors: Numbers that multiply together to form another number. For example, 8 and 77 are factors of 616.

• Multiples: The result of multiplying a number by an integer. For example, multiples of 616 include 616, 1232, 1848, etc.

• Integers: Whole numbers that include positive numbers, negative numbers, and zero.

• Subtraction: A mathematical operation that involves taking one quantity away from another.