Divisibility Rule of 78

The divisibility rule for 78 is a method by which we can find out if a number is divisible by 78 or not without using the division method. A number is divisible by 78 if it is divisible by both 2 and 39. Let's check whether 624 is divisible by 78 using the divisibility rule.

Step 1: Check divisibility by 2. The last digit of 624 is 4, which is even, so 624 is divisible by 2.

Step 2: Check divisibility by 39. Divide the number into parts that are easy to handle: 624 can be broken into 600 and 24. 

Check if 600 is divisible by 39. 600 ÷ 39 = 15.38, not an integer.
Check if 24 is divisible by 39. 24 ÷ 39 = 0.615, not an integer.

Since 624 is divisible by 2 but not by 39, it is not divisible by 78.

Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 78.

• Know the multiples of 78: Memorize the multiples of 78 (78, 156, 234, 312, etc.) to quickly check divisibility. If a number is one of these multiples, it is divisible by 78.

• Use the divisibility rules of 2 and 39: Break down the divisibility check into simpler parts by using the rules for 2 and 39.

• 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.

• Multiples: Results we get after multiplying a number by an integer. For example, multiples of 78 are 78, 156, 234, etc.

• Integer: Numbers that include all whole numbers and their negatives, including zero.

• Even Number: A number divisible by 2, such as 2, 4, 6, etc.

• Verification: The process of checking or proving the accuracy of a calculation or result.