166 LearnersLast updated on May 26th, 2025
Divisibility Rule of 842
The divisibility rule is a way to find out whether a number is divisible by another number without using the traditional division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 842.
What is the Divisibility Rule of 842?
The divisibility rule for 842 is a method by which we can determine if a number is divisible by 842 without performing the division. Check whether 1684 is divisible by 842 using the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 421, because 842 = 2 × 421. If a number is divisible by 842, it must be divisible by 2 (even number) and 421.
Step 2: Check if 1684 is divisible by 2. Since 1684 is even, it is divisible by 2.
Step 3: Divide 1684 by 2 to get 842. Now check if 842 is divisible by 421.
Step 4: Since 842 divided by 421 equals 2 exactly, 1684 is divisible by 842.
Tips and Tricks for Divisibility Rule of 842
Learn the divisibility rule to help master division. Let’s explore a few tips and tricks for the divisibility rule of 842.
1. Know the prime factorization:
Understand that 842 = 2 × 421. Check divisibility by these factors for easier calculations.
2. Use simpler methods:
If a number is even, you can quickly check divisibility by 2. Then, see if the resulting quotient is divisible by 421.
3. Repeat the process for larger numbers:
For large numbers, continue breaking them down into smaller factors for easier determination. For example, check if 3368 is divisible by 842. Since 3368 is even, divide by 2 to get 1684. Then check if 1684 is divisible by 421, as shown in the example above.
4. Use the division method to verify:
To confirm your results, use the division method to check if the remainder is 0 when dividing by 842.
Common Mistakes and How to Avoid Them in Divisibility Rule of 842
The divisibility rule of 842 helps us quickly check if a given number is divisible by 842, but common mistakes like calculation errors can lead to incorrect results. Here are some common mistakes and how to avoid them.
Mistake 1
Not checking for divisibility by both factors.
Always ensure the number is divisible by both 2 and 421.
Divisibility Rule of 842 Examples
Problem 1
Is 1684 divisible by 842?
Yes, 1684 is divisible by 842.
Explanation
To check if 1684 is divisible by 842, let's divide the number:
1) Divide 1684 by 842, 1684 ÷ 842 = 2.
2) The quotient is an integer without a remainder, indicating 1684 is divisible by 842.
Problem 2
Can 2526 be divided by 842 using the rule?
Yes, 2526 is divisible by 842.
Explanation
To verify if 2526 is divisible by 842:
1) Divide 2526 by 842, 2526 ÷ 842 = 3.
2) The quotient is an integer without a remainder, confirming that 2526 is divisible by 842.
Problem 3
Is 4210 divisible by 842?
No, 4210 is not divisible by 842.
Explanation
Checking divisibility for 4210:
1) Divide 4210 by 842, 4210 ÷ 842 ≈ 5.
2) The quotient results in a decimal, indicating 4210 is not divisible by 842.
Problem 4
Verify if 8420 is divisible by 842.
Yes, 8420 is divisible by 842.
Explanation
To determine if 8420 is divisible by 842:
1) Divide 8420 by 842, 8420 ÷ 842 = 10.
2) The quotient is an integer without a remainder, confirming 8420 is divisible by 842.
Problem 5
Is 1500 divisible by 842 according to the rule?
No, 1500 is not divisible by 842.
Explanation
Checking divisibility for 1500:
1) Divide 1500 by 842, 1500 ÷ 842 ≈ 1.78.
2) The quotient results in a decimal, indicating 1500 is not divisible by 842.
FAQs on Divisibility Rule of 842
1.What is the divisibility rule for 842?
2.How can I quickly check a number's divisibility by 842?
3. Is 1684 divisible by 842?
4.What if I get a remainder when dividing?
5.Does the divisibility rule of 842 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 842?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 842 with numbers?
8.What role do numbers and Divisibility Rule of 842 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 842 skills?
Important Glossaries for Divisibility Rule of 842
- Divisibility rule: A set of guidelines to determine if a number can be divided by another without a remainder.
- Prime factorization: Breaking down a number into its prime factors, such as 842 = 2 × 421.
- Even number: A number divisible by 2, with no remainder.
- Remainder: The amount left after division when a number is not evenly divisible.
- Integer: A whole number, including negative numbers, zero, and positive numbers.
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Hiralee Lalitkumar Makwana
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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.
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