Divisibility Rule of 539

The divisibility rule for 539 is a method by which we can find out if a number is divisible by 539 or not without using the division method. Check whether 1078 is divisible by 539 with the divisibility rule.

Step 1: Break down 539 into its prime factors: 539 = 11 × 49.

Step 2: Check divisibility by 11. Subtract the last digit from the rest of the number. For 1078, subtract 8 from 107: 107 - 8 = 99. Since 99 is divisible by 11, 1078 passes the first check.

Step 3: Check divisibility by 49. Divide 1078 by 49 to see if it results in an integer.

Step 4: If both checks (by 11 and by 49) confirm divisibility, the number is divisible by 539. Otherwise, it is not divisible by 539.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 539.

• Know the multiples of 539: Memorize the multiples of 539 (e.g., 539, 1078, 1617, etc.) to quickly check the divisibility. If the number matches one of these multiples, it is divisible by 539.
   
• Use the prime factors: Remember that 539 = 11 × 49. Checking divisibility for these smaller factors can help.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by both 11 and 49.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check 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 factors: The prime numbers that multiply together to get a composite number.
   
• Multiples: The results we get after multiplying a number by an integer. For example, multiples of 539 are 539, 1078, 1617...
   
• Composite number: A whole number that can be divided evenly by numbers other than 1 or itself.
   
• Integer: A number that includes all whole numbers, negative numbers, and zero.