Last updated on May 26th, 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 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.
The divisibility rule of 325 helps us quickly check if a given number is divisible by 325, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and solutions.
Is 650 divisible by 325?
Yes, 650 is divisible by 325.
To determine if 650 is divisible by 325, follow these steps:
1) Double the last two digits of the number, 50 × 2 = 100.
2) Subtract the result from the remaining digits, excluding the last two digits, 6 - 100 = -94.
3) Since -94 is not divisible by 325, check if the original number is divisible by 325. Since 650 ÷ 325 = 2, it is divisible.
Check the divisibility rule of 325 for 975.
Yes, 975 is divisible by 325.
To check if 975 is divisible by 325:
1) Double the last two digits, 75 × 2 = 150.
2) Subtract the result from the remaining digits, excluding the last two digits, 9 - 150 = -141.
3) Since -141 is not divisible by 325, check the division of the original number directly. Since 975 ÷ 325 = 3, it is divisible.
Is 1300 divisible by 325?
Yes, 1300 is divisible by 325.
For checking the divisibility of 1300 by 325:
1) Double the last two digits, 00 × 2 = 0.
2) Subtract the result from the remaining digits, 13 - 0 = 13.
3) Since 13 is not divisible by 325, directly divide the original number. Since 1300 ÷ 325 = 4, it is divisible.
Can 1450 be divisible by 325 following the divisibility rule?
No, 1450 is not divisible by 325.
To check if 1450 is divisible by 325:
1) Double the last two digits, 50 × 2 = 100.
2) Subtract the result from the remaining digits, 14 - 100 = -86.
3) Since -86 is not divisible by 325 and 1450 ÷ 325 is not a whole number, 1450 is not divisible.
Check the divisibility rule of 325 for 9750.
Yes, 9750 is divisible by 325.
To see if 9750 is divisible by 325:
1) Double the last two digits, 50 × 2 = 100.
2) Subtract the result from the remaining digits, 97 - 100 = -3.
3) Since -3 is not divisible by 325, directly dividing 9750 by 325 gives a whole number (30), confirming divisibility.
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.