211 LearnersLast updated on May 26th, 2025
Divisibility Rule of 800
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 800.
What is the Divisibility Rule of 800?
The divisibility rule for 800 is a method by which we can determine if a number is divisible by 800 without using the division method. Check whether 6400 is divisible by 800 using the divisibility rule.
Step 1: Check if the last three digits of the number are all zeros or if the last three digits form a number that is divisible by 8. Here in 6400, the last three digits are 400.
Step 2: Verify if 400 is divisible by 8. Divide 400 by 8 to check divisibility. 400 ÷ 8 = 50, which is an integer.
Step 3: Since the last three digits (400) can be divided by 8, the number 6400 is divisible by 800.
Tips and Tricks for Divisibility Rule of 800
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 800.
Know the multiples of 800:
Memorize the multiples of 800 (800, 1600, 2400, 3200, etc.) to quickly check divisibility. If the last three digits form a multiple of 800, then the number is divisible by 800.
Use the round numbers:
Numbers ending in three zeros (e.g., 2000, 5000) are easy to check for divisibility by 800 as they are automatically divisible.
Repeat the process for large numbers:
For large numbers, focus on the last three digits. For example, check if 9800 is divisible by 800. The last three digits are 800, which is divisible by 8.
Use the division method to verify:
Students can use the division method to verify and cross-check their results. This will help them confirm their findings and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 800
The divisibility rule of 800 helps us quickly check if a given number is divisible by 800, 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 the last three digits correctly.
Ensure that you focus only on the last three digits and check their divisibility by 8.
Mistake 2
Assuming any three-digit number divisible by 8 is enough.
Remember that the entire number must end with these three digits or zeros.
Mistake 3
Not repeating the process for complex numbers.
Simplify the problem by repeatedly focusing on the last three digits until they are manageable.
Mistake 4
Ignoring zeros in the last three digits.
Zeros in the last three digits, like 000, automatically mean the number is divisible by 800.
Mistake 5
Confusing steps.
Students often confuse steps. To avoid this error, practice regularly.
Divisibility Rule of 800 Examples
Problem 1
Can 1600 be evenly divided by 800?
Yes, 1600 is divisible by 800.
Explanation
To determine if 1600 is divisible by 800, follow these steps:
1) Check if the last three digits form a number that is divisible by 800. Here, the last three digits are 600.
2) Since 600 is not divisible by 800, but the entire number 1600 is a multiple of 800 (800 x 2 = 1600), 1600 is divisible by 800.
Problem 2
Is 3200 divisible by 800 using the divisibility rule?
Yes, 3200 is divisible by 800.
Explanation
Checking the divisibility of 3200 by 800:
1) Look at the last three digits of the number, which are 200.
2) Since 200 is not divisible by 800, examine the entire number.
3) 3200 is a multiple of 800 (800 x 4 = 3200), so it is divisible by 800.
Problem 3
Determine if 4000 can be divided evenly by 800.
Yes, 4000 is divisible by 800.
Explanation
To check if 4000 is divisible by 800:
1) The last three digits are 000, which indicates the number could be divisible by any power of 10 up to 1000.
2) Since 4000 is a multiple of 800 (800 x 5 = 4000), it is divisible by 800.
Problem 4
Is 2400 divisible by 800 according to the divisibility rule?
Yes, 2400 is divisible by 800.
Explanation
To verify if 2400 is divisible by 800:
1) Consider the last three digits, 400.
2) Since 400 is not divisible by 800, check the entire number.
3) 2400 is a multiple of 800 (800 x 3 = 2400), confirming it is divisible by 800.
Problem 5
Can 7200 be divided by 800 using the divisibility rule?
Yes, 7200 is divisible by 800.
Explanation
To determine if 7200 is divisible by 800:
1) Analyze the last three digits, which are 200.
2) Since 200 is not divisible by 800, consider the full number.
3) 7200 is a multiple of 800 (800 x 9 = 7200), so it is divisible by 800.
FAQs on Divisibility Rule of 800
1.What is the divisibility rule for 800?
2.How many numbers are there between 1 and 10,000 that are divisible by 800?
3.Is 3200 divisible by 800?
4.What if the last three digits are zeros?
5.Does the divisibility rule of 800 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 800?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 800 with numbers?
8.What role do numbers and Divisibility Rule of 800 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 800 skills?
Important Glossaries for Divisibility Rule of 800
- Divisibility rule: A set of rules used to determine if a number is divisible by another number.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 800 are 800, 1600, 2400, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Zero: A digit that can affect divisibility when present in certain positions within a number.
- Division: The act of dividing a number to determine how many times one number is contained within another.
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About BrightChamps in Philippines
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.
