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Last updated on February 13th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 480.
The divisibility rule for 480 is a method by which we can find out if a number is divisible by 480 or not without using the division method. To determine if a number is divisible by 480, it must be divisible by all the prime factors of 480. The prime factorization of 480 is 2^5 × 3 × 5.
1. Divisibility by 16 (2^4): The last four digits of the number must be divisible by 16.
2. Divisibility by 3: The sum of the digits of the number must be divisible by 3.
3. Divisibility by 5: The number must end in 0.
Let's check whether 3840 is divisible by 480 with the divisibility rule.
Step 1: Check divisibility by 16. The last four digits are 3840. Check if 3840 is divisible by 16. 3840 ÷ 16 = 240, which is an integer, so 3840 is divisible by 16.
Step 2: Check divisibility by 3. Add the digits: 3 + 8 + 4 + 0 = 15. Since 15 is divisible by 3, 3840 is divisible by 3.
Step 3: Check divisibility by 5. The number ends in 0, so it is divisible by 5.
Since 3840 passes all these tests, it is divisible by 480.
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 480.
Is the number of pages in a book, 960, divisible by 480?
A shipment contains 1440 items. Can they be equally distributed among 480 boxes?
A concert venue has a seating capacity of 720. Is this number divisible by 480?
A company has a total of 1920 employees. If they want to form teams of 480, will each team have an equal number of employees?
Is the total distance of 2400 miles divisible by 480 miles per day for a road trip?
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.