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Last updated on February 16th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, we can use the divisibility rule for quick calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 240.
The divisibility rule for 240 is a method to determine if a number is divisible by 240 without using the division method. A number is divisible by 240 if it is divisible by all the prime factors of 240. Since 240 = 2^4 × 3 × 5, a number must be divisible by 16, 3, and 5 to be divisible by 240.
Check whether 480 is divisible by 240 using the divisibility rule.
Step 1: Check divisibility by 16. The last four digits of 480 are 0480, which is divisible by 16.
Step 2: Check divisibility by 3. The sum of the digits in 480 is 4 + 8 + 0 = 12, which is divisible by 3.
Step 3: Check divisibility by 5. The last digit of 480 is 0, which is divisible by 5.
Since 480 is divisible by 16, 3, and 5, it is divisible by 240.
Learning the divisibility rule helps kids master division. Let’s explore a few tips and tricks for the divisibility rule of 240.
Memorize that 240 = 2^4 × 3 × 5 to quickly check divisibility. A number divisible by 16, 3, and 5 is divisible by 240.
Check divisibility by 16: For divisibility by 16, ensure the last four digits of the number are divisible by 16.
Check divisibility by 3: Sum the digits of the number and check if the sum is divisible by 3.
Check divisibility by 5: Ensure the last digit of the number is either 0 or 5.
Students can use the division method to verify and crosscheck their results. This will help them learn and confirm their understanding.
Does the number of petals on a flower sculpture, 240 petals, allow it to be grouped equally into arrangements of 10, 12, and 20 petals each?
A factory produces 240 gadgets in a day. Can these gadgets be packed equally into boxes of 8, 15, and 24 gadgets?
A library has 240 books. Can these books be displayed equally on shelves of 6, 10, and 40 books each?
An event planner has 240 chairs. Can these chairs be arranged in equal rows of 5, 12, and 16 chairs each?
A chef is preparing a feast with 240 cupcakes. Can these cupcakes be served equally on trays of 4, 6, and 20 cupcakes?
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.