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 75.
The divisibility rule for 75 is a method by which we can find out if a number is divisible by 75 or not without using the division method. Check whether 450 is divisible by 75 with the divisibility rule.
Step 1: Check if the number is divisible by 3. Add the digits of 450: 4 + 5 + 0 = 9. Since 9 is divisible by 3, proceed to the next step.
Step 2: Check if the number is divisible by 25. A number is divisible by 25 if its last two digits form a number that is divisible by 25. The last two digits of 450 are 50, which is divisible by 25.
Step 3: Since 450 passes both tests, it is divisible by 75.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 75.
Memorize the multiples of 75 (75, 150, 225, 300, 375, etc.) to quickly check divisibility. If the number matches one of these multiples, it is divisible by 75.
Ensure a number is divisible by both 3 and 25, as 75 is the product of these two numbers.
For large numbers, break them down into smaller parts and apply the divisibility rules for 3 and 25 separately.
Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
The divisibility rule of 75 helps us to quickly check if the given number is divisible by 75, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you understand.
Is 225 divisible by 75?
Yes, 225 is divisible by 75.
To check if 225 is divisible by 75, we follow these steps:
1) Check if the number is divisible by 3 (sum of digits is 2 + 2 + 5 = 9, which is divisible by 3).
2) Check if the number is divisible by 25 (the last two digits are 25, which is divisible by 25).
Since 225 meets both conditions, it is divisible by 75.
Can 450 be divided evenly by 75?
Yes, 450 is divisible by 75.
To determine if 450 is divisible by 75, follow these checks:
1) Check divisibility by 3 (sum of digits is 4 + 5 + 0 = 9, which is divisible by 3).
2) Check divisibility by 25 (the last two digits are 50, which is divisible by 25).
Since 450 satisfies both conditions, it is divisible by 75.
Is 160 divisible by 75?
No, 160 is not divisible by 75.
To check the divisibility of 160 by 75, perform the following checks:
1) Check divisibility by 3 (sum of digits is 1 + 6 + 0 = 7, which is not divisible by 3).
2) Check divisibility by 25 (the last two digits are 60, which is not divisible by 25).
Since 160 fails both checks, it is not divisible by 75.
Determine if 825 is divisible by 75.
Yes, 825 is divisible by 75.
For checking divisibility of 825 by 75, follow these steps:
1) Check divisibility by 3 (sum of digits is 8 + 2 + 5 = 15, which is divisible by 3).
2) Check divisibility by 25 (the last two digits are 25, which is divisible by 25).
Since 825 meets both conditions, it is divisible by 75.
Is 980 divisible by 75?
No, 980 is not divisible by 75.
To assess if 980 is divisible by 75, apply these checks:
1) Check divisibility by 3 (sum of digits is 9 + 8 + 0 = 17, which is not divisible by 3).
2) Check divisibility by 25 (the last two digits are 80, which is not divisible by 25).
Since 980 does not satisfy both conditions, it is not divisible by 75.
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.