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136 LearnersLast updated on February 12th, 2025
Divisibility Rule of 385
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 385.
What is the Divisibility Rule of 385?
The divisibility rule for 385 is a method by which we can find out if a number is divisible by 385 or not without using the division method. To check whether a number is divisible by 385, it must be divisible by 5, 7, and 11, as 385 is the product of these three numbers (385 = 5 × 7 × 11).
Check whether 770 is divisible by 385 using the divisibility rule.
Step 1: Check divisibility by 5. A number is divisible by 5 if it ends in 0 or 5. Here, 770 ends in 0, so it is divisible by 5.
Step 2: Check divisibility by 7 using its rule. Double the last digit and subtract it from the rest of the number. For 770, double 0 to get 0, and subtract from 77 to get 77. Since 77 is divisible by 7, 770 is divisible by 7.
Step 3: Check divisibility by 11 using its rule. Subtract the last digit from the rest of the number. For 770, subtract 0 from 77 to get 77. Since 77 is divisible by 11, 770 is divisible by 11.
Since 770 is divisible by 5, 7, and 11, it is divisible by 385.
Tips and Tricks for Divisibility Rule of 385
Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 385.
- Know the multiples of 385: Memorize the multiples of 385 (385, 770, 1155, etc.) to quickly check divisibility.
- Use the individual rules: Ensure each separate rule (for 5, 7, and 11) is applied correctly to determine if a number is divisible by 385.
- Repeat the process for large numbers: For large numbers, repeat individual divisibility checks until reaching a smaller number to easily verify divisibility by 385.
- Use the division method to verify: Use the division method as a way to verify and cross-check results. This helps to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 385
The divisibility rule of 385 helps us to quickly check if the given number is divisible by 385, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and solutions.
Mistake 1
Not following the correct steps for each factor.
Students should follow the correct steps for divisibility by 5, 7, and 11, ensuring each is applied correctly.
Divisibility Rule of 385 Examples
Problem 1
Is 770 divisible by 385?
Yes, 770 is divisible by 385.
Explanation
To check if 770 is divisible by 385, we apply a simplified method since 770 is a multiple of 385.
1) Divide 770 by 385.
2) The result is an integer: 770 ÷ 385 = 2.
3) Since the result is an integer, 770 is divisible by 385.
Problem 2
Check the divisibility rule of 385 for 1155
Yes, 1155 is divisible by 385.
Explanation
To determine if 1155 is divisible by 385:
1) Divide 1155 by 385.
2) The result is an integer: 1155 ÷ 385 = 3.
3) Since the result is an integer, 1155 is divisible by 385.
Problem 3
Is 1925 divisible by 385?
Yes, 1925 is divisible by 385.
Explanation
To verify if 1925 is divisible by 385:
1) Divide 1925 by 385.
2) The result is an integer: 1925 ÷ 385 = 5.
3) Because the result is an integer, 1925 is divisible by 385.
Problem 4
Can 750 be divisible by 385 following the divisibility rule?
No, 750 isn't divisible by 385.
Explanation
To check if 750 is divisible by 385:
1) Divide 750 by 385.
2) The result is not an integer: 750 ÷ 385 ≈ 1.948.
3) Since the result is not an integer, 750 is not divisible by 385.
Problem 5
Check the divisibility rule of 385 for 19250.
Yes, 19250 is divisible by 385.
Explanation
To confirm if 19250 is divisible by 385:
1) Divide 19250 by 385.
2) The result is an integer: 19250 ÷ 385 = 50.
3) As the result is an integer, 19250 is divisible by 385.
FAQs on Divisibility Rule of 385
1.What is the divisibility rule for 385?
2.How many numbers between 1 and 1000 are divisible by 385?
3.Is 1155 divisible by 385?
4.What if I get zero after subtraction in one of the checks?
5.Does the divisibility rule of 385 apply to all integers?
Important Glossaries for Divisibility Rule of 385
- Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 385 are 385, 770, 1155, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A mathematical operation where one number is reduced by another to find the difference.
- Factors: Numbers that evenly divide another number. For example, the factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385.
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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.
