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116 LearnersLast updated on February 18th, 2025
Divisibility Rule of 890
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 890.
What is the Divisibility Rule of 890?
The divisibility rule for 890 is a method by which we can find out if a number is divisible by 890 or not without using the division method.
Check whether 3560 is divisible by 890 with the divisibility rule.
Step 1: Check if the number is divisible by 10, as 890 is divisible by 10. Here, 3560 ends in 0, so it is divisible by 10.
Step 2: Check the remaining number 356 (after removing the last digit) for divisibility by 89.
This is more complex than basic divisibility checks and often requires division or simplification, but here we'll use the fact that 356 divided by 89 results in a whole number (4), so it is divisible.
Step 3: Since the number 356 is divisible by 89 and the original number 3560 is divisible by 10, 3560 is divisible by 890.
Tips and Tricks for Divisibility Rule of 890
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 890.
Know the factors of 890:
Understand that 890 is composed of 89 and 10. This helps in checking divisibility by breaking the problem into simpler parts.
Use simplification:
If facing difficulty with direct checks, simplify the number by removing factors like 10 and then checking for divisibility by 89.
Repeat the process for large numbers:
For large numbers, break them down and use these steps iteratively to simplify the check.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them to confirm and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 890
The divisibility rule of 890 helps us to quickly check if the given number is divisible by 890, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not recognizing factors of 890.
Students should recognize that 890 can be broken into 89 and 10, simplifying the divisibility check.
Divisibility Rule of 890 Examples
Problem 1
Is the number of pages in a book, 1780, divisible by 890?
Yes, 1780 is divisible by 890.
Explanation
To check if 1780 is divisible by 890, we need to divide the number by 890 and see if the quotient is a whole number.
1) Perform the division 1780 ÷ 890 = 2.
2) Since the result is a whole number, 1780 is divisible by 890.
Problem 2
A large shipment contains 3560 items. Can these items be equally divided into boxes holding 890 items each?
Yes, 3560 is divisible by 890.
Explanation
To determine if 3560 can be divided equally by 890:
1) Perform the division 3560 ÷ 890 = 4.
2) Since the quotient is a whole number, 3560 is divisible by 890.
Problem 3
An auditorium has 2670 seats. Are these seats divisible evenly into sections of 890 seats each?
No, 2670 is not divisible by 890.
Explanation
To check if 2670 can be divided evenly by 890:
1) Perform the division 2670 ÷ 890 = 3 with a remainder.
2) Since there is a remainder, 2670 is not divisible by 890.
Problem 4
A train travels a distance of 4450 kilometers. Can this distance be divided evenly by 890 kilometers per segment?
No, 4450 is not divisible by 890.
Explanation
To determine if 4450 can be divided evenly by 890:
1) Perform the division 4450 ÷ 890 = 5 with a remainder.
2) Since there is a remainder, 4450 is not divisible by 890.
Problem 5
A factory produces 8900 units of a product. Can these units be packaged into boxes containing 890 units each without any left over?
Yes, 8900 is divisible by 890.
Explanation
To check if 8900 can be evenly divided by 890:
1) Perform the division 8900 ÷ 890 = 10.
2) Since the quotient is a whole number, 8900 is divisible by 890.
FAQs on Divisibility Rule of 890
1.What is the divisibility rule for 890?
2.How can I easily check if a number is divisible by 890?
3.Is 1780 divisible by 890?
4.What if only one part of the divisibility check is fulfilled?
5.Does the divisibility rule of 890 apply to all integers?
Important Glossaries for Divisibility Rule of 890
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Factors: Numbers that divide into another number exactly without leaving a remainder.
- Simplification: The process of reducing a number by removing certain factors to make calculations easier.
- Division: The process of determining how many times one number is contained within another.
- Whole Number: A non-fractional number, including all natural numbers and zero.
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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.
