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127 LearnersLast updated on February 18th, 2025
Divisibility Rule of 940
The divisibility rule is a method to determine whether a number is divisible by another number without performing actual division. In real life, we use divisibility rules for quick math, evenly dividing things, and sorting items. In this topic, we will learn about the divisibility rule of 940.
What is the Divisibility Rule of 940?
The divisibility rule for 940 is a method to find out if a number is divisible by 940 without using the division method. Let's check whether 2820 is divisible by 940 using the divisibility rule.
Step 1: Check the divisibility by 10, 94, and 100 to determine divisibility by 940.
- 2820 is divisible by 10 since it ends with a 0.
- Divide 282 by 94. Since 282 is divisible by 94 (282/94 = 3), 2820 is divisible by 940.
Tips and Tricks for Divisibility Rule of 940
Understanding the divisibility rule will help in mastering division. Here are some tips and tricks for the divisibility rule of 940:
Know the factors of 940:
Memorize the factors of 940 (10, 94, and 100) to quickly verify divisibility. If a number is divisible by these factors, it is divisible by 940.
Use the digit sum method for smaller factors:
For smaller factors like 10, ensure the number ends in 0.
Simplify calculations:
Break the number into parts to check divisibility by 94 and 10 separately.
Use the division method to verify:
Use the division method to cross-check results. This helps in verification and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 940
The divisibility rule of 940 helps us quickly check if a number is divisible by 940, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factors.
Ensure to check divisibility by 10, 94, and 100 to confirm divisibility by 940.
Divisibility Rule of 940 Examples
Problem 1
Is 5640 divisible by 940?
Yes, 5640 is divisible by 940.
Explanation
To check if 5640 is divisible by 940, follow these steps:
1) Break down 5640 into its significant digits. Since 940 ends in zero, we can check the other digits.
2) Divide 5640 by 940 to see if it results in a whole number.
5640 ÷ 940 = 6.
3) Since the result is a whole number, 5640 is divisible by 940.
Problem 2
Check if 7520 is divisible by 940.
No, 7520 is not divisible by 940.
Explanation
To determine if 7520 is divisible by 940, follow these steps:
1) Divide 7520 by 940.
7520 ÷ 940 = 8 (with a remainder).
2) Since the division does not result in a whole number, 7520 is not divisible by 940.
Problem 3
Is -1880 divisible by 940?
Yes, -1880 is divisible by 940.
Explanation
To check if -1880 is divisible by 940, follow these steps:
1) Remove the negative sign and divide the absolute value by 940.
1880 ÷ 940 = 2.
2) Since the result is a whole number, -1880 is divisible by 940.
Problem 4
Can 2350 be divisible by 940?
No, 2350 isn't divisible by 940.
Explanation
To determine if 2350 is divisible by 940, follow these steps:
1) Divide 2350 by 940.
2350 ÷ 940 ≈ 2.5.
2) Since the division does not result in a whole number, 2350 is not divisible by 940.
Problem 5
Check the divisibility rule of 940 for 9400.
Yes, 9400 is divisible by 940.
Explanation
To check the divisibility of 9400 by 940, follow these steps:
1) Divide 9400 by 940.
9400 ÷ 940 = 10.
2) Since the result is a whole number, 9400 is divisible by 940.
FAQs on Divisibility Rule of 940
1.What is the divisibility rule for 940?
2.How many numbers between 1 and 1000 are divisible by 940?
3.Is 1880 divisible by 940?
4.What if I get a remainder of 0 after division?
5.Does the divisibility rule of 940 apply to all integers?
Important Glossaries for Divisibility Rule of 940
- Divisibility rule: A set of guidelines to determine if a number is divisible by another without performing the division.
- Factors: Numbers that divide a given number exactly without leaving a remainder.
- Multiple: The product of a number and an integer.
- Remainder: The amount left over after division when a number is not evenly divisible.
- Integer: Whole numbers including negative numbers, zero, and positive numbers.
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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.
