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119 LearnersLast updated on February 12th, 2025
Divisibility Rule of 390
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 390.
What is the Divisibility Rule of 390?
The divisibility rule for 390 is a method by which we can find out if a number is divisible by 390 or not without using the division method. Check whether 780 is divisible by 390 with the divisibility rule.
Step 1: Ensure the number is divisible by 2, 3, and 5. Check divisibility for each:
- Divisibility by 2: The last digit of 780 is 0, which is even, hence divisible by 2.
- Divisibility by 3: Add the digits of 780 (7+8+0=15). Since 15 is divisible by 3, 780 is divisible by 3.
- Divisibility by 5: The last digit of 780 is 0, which is a multiple of 5, hence divisible by 5.
Step 2: Since 780 is divisible by 2, 3, and 5, it is divisible by 390.
Tips and Tricks for Divisibility Rule of 390
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 390.
- Know the multiples of 2, 3, and 5: Memorize the multiples of these numbers to quickly check divisibility.
- Break it down: Since 390 = 2 × 3 × 5 × 13, ensure the number is divisible by 2, 3, and 5 first, simplifying the problem.
- Verify divisibility by 13: If the number passes the tests for 2, 3, and 5, check divisibility by 13 for complete verification.
- Repeat the process for larger numbers: For example, check if 9360 is divisible by 390 using the divisibility test:
- Divisibility by 2: Last digit is 0, divisible by 2.
- Divisibility by 3: Sum of digits is 18, divisible by 3.
- Divisibility by 5: Last digit is 0, divisible by 5.
- Divisibility by 13: 9360 ÷ 13 = 720, which is an integer.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 390
The divisibility rule of 390 helps us quickly check if a given number is divisible by 390, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps for checking divisibility by 2, 3, 5, and 13.
Divisibility Rule of 390 Examples
Problem 1
Is 780 divisible by 390?
Yes, 780 is divisible by 390.
Explanation
To check the divisibility of 780 by 390, we can divide 780 by 390. 780 ÷ 390 = 2, which is a whole number. Therefore, 780 is divisible by 390.
Problem 2
Check if 1170 is divisible by 390.
Yes, 1170 is divisible by 390.
Explanation
For checking the divisibility of 1170 by 390, divide 1170 by 390. 1170 ÷ 390 = 3, which is a whole number. Therefore, 1170 is divisible by 390.
Problem 3
Is 585 divisible by 390?
No, 585 is not divisible by 390.
Explanation
To determine if 585 is divisible by 390, divide 585 by 390. 585 ÷ 390 ≈ 1.5, which is not a whole number. Therefore, 585 is not divisible by 390.
Problem 4
Can 2340 be divisible by 390 following the divisibility rule?
Yes, 2340 is divisible by 390.
Explanation
To verify if 2340 is divisible by 390, divide 2340 by 390. 2340 ÷ 390 = 6, which is a whole number. Therefore, 2340 is divisible by 390.
Problem 5
Check if 3510 is divisible by 390.
No, 3510 is not divisible by 390.
Explanation
To check the divisibility of 3510 by 390, divide 3510 by 390. 3510 ÷ 390 ≈ 9, which is a whole number, but it’s incorrect in the context of checking simple divisibility without remainders. My apologies for the mistake; since 3510 ÷ 390 doesn't produce an exact whole number without any remainder, 3510 is not divisible by 390.
FAQs on Divisibility Rule of 390
1.What is the divisibility rule for 390?
2.How many numbers are there between 1 and 1000 that are divisible by 390?
3.Is 780 divisible by 390?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 390 apply to all integers?
Important Glossaries for Divisibility Rule of 390
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Results obtained after multiplying a number by an integer.
- Integers: Numbers that include whole numbers, negative numbers, and zero.
- Factors: Numbers that divide another number completely without leaving a remainder.
- Division: The mathematical operation of dividing one number by another.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
