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.
 

• Know the multiples of prime factors: Memorize the multiples of 16, 3, and 5 to quickly check divisibility. 
   
• Use smaller numbers: Break down large numbers into smaller parts to test each divisibility rule.
   
• Repeat the process for large numbers: For very large numbers, break them down and check the rules for smaller sections.
   
• Use the division method to verify: Always use the division method to verify and cross-check results, which will help to confirm calculations.
   

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
   
• Prime factors: The prime numbers that multiply together to give a number. For 480, these are 2, 3, and 5.
   
• Multiples: The results obtained by multiplying a number by integers. For example, multiples of 16 include 16, 32, 48, etc.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Factorization: The process of breaking down a number into its prime factors.