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 360.
The divisibility rule for 360 is a method by which we can find out if a number is divisible by 360 without using the division method. A number is divisible by 360 if it is divisible by 8, 9, and 5. Check whether 7200 is divisible by 360 using the divisibility rule:
Step 1: Check divisibility by 8. The last three digits of 7200 are 200, and 200 is divisible by 8.
Step 2: Check divisibility by 9. Sum the digits of 7200: 7+2+0+0=9. Since 9 is divisible by 9, 7200 is divisible by 9.
Step 3: Check divisibility by 5. Since 7200 ends with 0, it is divisible by 5.
Since 7200 meets all three conditions, it is divisible by 360.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 360:
The divisibility rule of 360 helps us quickly check if a given number is divisible by 360, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them:
Can 7200 be evenly divided by 360?
Yes, 7200 is divisible by 360.
To verify divisibility by 360, the number must be divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 7200 are 200, which is divisible by 8 (200 ÷ 8 = 25).
2) Check divisibility by 45: The number 7200 ends with a zero, and the sum of its digits (7 + 2 + 0 + 0 = 9) is divisible by 9. Therefore, 7200 is divisible by both 9 and 5, making it divisible by 45.
Is 1080 divisible by 360?
Yes, 1080 is divisible by 360.
To check divisibility by 360, the number must be divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 1080 are 080, which is divisible by 8 (80 ÷ 8 = 10).
2) Check divisibility by 45: The number 1080 ends with a zero, and the sum of its digits (1 + 0 + 8 + 0 = 9) is divisible by 9. Therefore, 1080 is divisible by both 9 and 5, making it divisible by 45.
Is 2340 divisible by 360?
No, 2340 is not divisible by 360.
To determine divisibility by 360, the number must be divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 2340 are 340, which is not divisible by 8 (340 ÷ 8 = 42.5).
2) Since 2340 is not divisible by 8, it cannot be divisible by 360.
Check if 5760 is divisible by 360.
Yes, 5760 is divisible by 360.
A number is divisible by 360 if it is divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 5760 are 760, which is divisible by 8 (760 ÷ 8 = 95).
2) Check divisibility by 45: The number 5760 ends with a zero, and the sum of its digits (5 + 7 + 6 + 0 = 18) is divisible by 9. Therefore, 5760 is divisible by both 9 and 5, making it divisible by 45.
Is 2520 divisible by 360?
Yes, 2520 is divisible by 360.
To confirm divisibility by 360, the number must be divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 2520 are 520, which is divisible by 8 (520 ÷ 8 = 65).
2) Check divisibility by 45: The number 2520 ends with a zero, and the sum of its digits (2 + 5 + 2 + 0 = 9) is divisible by 9. Therefore, 2520 is divisible by both 9 and 5, making it 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.