Divisibility Rule of 550

The divisibility rule for 550 is a method by which we can find out if a number is divisible by 550 or not without using the division method. Check whether 1100 is divisible by 550 with the divisibility rule.
 

Step 1: Check if the number is divisible by both 2, 5, and 11 because 550 is the product of these prime factors (550 = 2 × 5 × 11).

Divisibility by 2: The number 1100 ends with a 0, which is even, so it is divisible by 2.

Divisibility by 5: The number 1100 ends with a 0, which is divisible by 5.

Divisibility by 11: The difference between the sum of the digits in odd positions (1+0=1) and the sum of the digits in even positions (1+0=1) is 0, which is divisible by 11.
 

Step 2: Since 1100 meets all these conditions, it is divisible by 550.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 550.
 

• Understand the prime factors of 550: Memorize the prime factors of 550 (2, 5, and 11) to quickly check divisibility. A number is divisible by 550 if it is divisible by all these prime factors.
   
• Check each factor individually: For a number to be divisible by 550, it should pass the divisibility tests of 2, 5, and 11.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process for each factor until they reach a conclusion.
   
• 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. For example, a number is divisible by 2 if the number ends with an even number.
   
• Prime factors: These are the prime numbers that multiply together to give the original number. For 550, the prime factors are 2, 5, and 11.
   
• Multiple: A multiple is the result of multiplying a number by an integer. For example, 1100 is a multiple of 550.
   
• Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Sum of digits: This involves adding the digits of a number. For divisibility by 11, the alternating sum of digits is used.