The Divisibility Rule of 325

The divisibility rule for 325 is a method by which we can find out if a number is divisible by 325 or not without using the division method. Check whether 16250 is divisible by 325 using the divisibility rule.

Step 1: Check if the number is divisible by both 25 and 13, as 325 = 25 × 13. 

Step 2: For divisibility by 25, check if the last two digits of the number are 00, 25, 50, or 75. Here, 50 is the last two digits of 16250, so it is divisible by 25.

Step 3: For divisibility by 13, use the rule that involves subtracting 9 times the last digit from the rest of the number, then check if the result is divisible by 13. For 16250, the last digit is 0, so no subtraction is needed, and we check 1625. 

Step 4: Continue with 1625. Subtract 9 times the last digit (5), i.e., 162 - 45 = 117. Since 117 is divisible by 13, 16250 is divisible by 325.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 325.

• Know the multiples of 325: Memorize the multiples of 325 (325, 650, 975, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 325, then the number is divisible by 325.

• Use the divisibility rules of 25 and 13: Ensure the number is divisible by both 25 and 13 separately as a quick check.

• Repeat the process for large numbers: Students should keep repeating the divisibility process for each factor of 325 until they reach a small number that is divisible by both 25 and 13.

• 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 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 25 if the last two digits are 00, 25, 50, or 75.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 325 are 325, 650, 975, etc.

• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.

• Factors: Factors are numbers that divide another number completely without leaving a remainder, like 25 and 13 for 325.