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 45.
The divisibility rule for 45 is a method by which we can find out if a number is divisible by 45 or not without using the division method. Check whether 180 is divisible by 45 with the divisibility rule.
Step 1: Ensure the number is divisible by both 5 and 9. A number is divisible by 5 if it ends in 0 or 5, and divisible by 9 if the sum of its digits is a multiple of 9.
Step 2: Check divisibility by 5. Here, 180 ends in 0, so it is divisible by 5.
Step 3: Check divisibility by 9. Sum the digits of 180: 1 + 8 + 0 = 9. Since 9 is a multiple of 9, 180 is divisible by 9.
Step 4: Since 180 is divisible by both 5 and 9, it is divisible by 45.
Learning divisibility rules can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 45.
The divisibility rule of 45 helps us quickly check if a given number is divisible by 45, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Is 360 divisible by 45?
Yes, 360 is divisible by 45.
To determine if a number is divisible by 45, it must be divisible by both 5 and 9.
1) Check divisibility by 5: The last digit of 360 is 0, which is divisible by 5.
2) Check divisibility by 9: Sum the digits of 360 (3 + 6 + 0 = 9). The sum is 9, which is divisible by 9.
Therefore, 360 is divisible by 45.
Can 540 be divided by 45 without a remainder?
Yes, 540 is divisible by 45.
A number is divisible by 45 if it is divisible by both 5 and 9.
1) Check divisibility by 5: The last digit of 540 is 0, which is divisible by 5.
2) Check divisibility by 9: Sum the digits of 540 (5 + 4 + 0 = 9). The sum is 9, which is divisible by 9.
Thus, 540 is divisible by 45.
Is 225 divisible by 45?
No, 225 is not divisible by 45.
To check divisibility by 45, the number must be divisible by both 5 and 9.
1) Check divisibility by 5: The last digit of 225 is 5, which is divisible by 5.
2) Check divisibility by 9: Sum the digits of 225 (2 + 2 + 5 = 9). The sum is 9, which is divisible by 9.
Although 225 is divisible by both 5 and 9, when divided by 45, it does not leave a whole number (225 ÷ 45 = 5).
Therefore, 225 is not divisible by 45.
Verify if 945 is divisible by 45.
Yes, 945 is divisible by 45.
A number is divisible by 45 if it is divisible by both 5 and 9.
1) Check divisibility by 5: The last digit of 945 is 5, which is divisible by 5.
2) Check divisibility by 9: Sum the digits of 945 (9 + 4 + 5 = 18). The sum is 18, which is divisible by 9 (9 x 2 = 18).
Therefore, 945 is divisible by 45.
Determine if 1,080 can be divided by 45 without a remainder.
Yes, 1,080 is divisible by 45.
A number is divisible by 45 if it is divisible by both 5 and 9.
1) Check divisibility by 5: The last digit of 1,080 is 0, which is divisible by 5.
2) Check divisibility by 9: Sum the digits of 1,080 (1 + 0 + 8 + 0 = 9). The sum is 9, which is divisible by 9.
Therefore, 1,080 is divisible by 45.
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.