Divisibility Rule of 120

The divisibility rule for 120 is a method by which we can find out if a number is divisible by 120 or not without using the division method. Check whether 2400 is divisible by 120 with the divisibility rule.

Step 1: Check if the number is divisible by 8. For 2400, check the last three digits, which are 400. Since 400 is divisible by 8 (400/8 = 50), proceed to the next step.

Step 2: Check if the number is divisible by 3. Sum the digits of 2400 (2 + 4 + 0 + 0 = 6). Since 6 is divisible by 3, proceed to the next step.

Step 3: Check if the number is divisible by 5. The last digit of 2400 is 0, which is divisible by 5.

Since 2400 satisfies all three conditions, it is divisible by 120.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 120.

• Know the prime factorization: Memorize that 120 = 2^3 × 3 × 5 to understand the divisibility requirements (by 8, 3, and 5).

• Use the divisibility of smaller numbers: Check divisibility by 8, 3, and 5 separately instead of 120 directly. This simplifies the process.

• Repeat the process for large numbers: Students should keep repeating the divisibility process for large numbers until they confirm divisibility by 8, 3, and 5.

• 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 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.

• Prime factorization: Expressing a number as the product of its prime factors.

• Sum of digits: The sum of all individual digits in a number.

• Multiple: The result of multiplying a number by an integer.

• Integer: Numbers that include all whole numbers, negative numbers, and zero.