202 LearnersLast updated on May 26th, 2025
Divisibility Rule of 104
The divisibility rule is a way to determine 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 104.
What is the Divisibility Rule of 104?
The divisibility rule for 104 is a method by which we can find out if a number is divisible by 104 without using the division method. Check whether 2080 is divisible by 104 with the divisibility rule
Step 1: Check if the number is divisible by both 8 and 13, as 104 is the product of these two factors (104 = 8 × 13).
Step 2: To check divisibility by 8, verify if the last three digits of the number form a number divisible by 8. For example, in 2080, the last three digits are 080, which is divisible by 8.
Step 3: To check divisibility by 13, sum the digits in groups of two from right to left, alternately adding and subtracting, and check if the result is divisible by 13. For 2080, (20 - 80 = -60) is not divisible by 13, so 2080 is not divisible by 104.
Tips and Tricks for Divisibility Rule of 104
Learning the divisibility rules for 8 and 13 will help students apply the rule for 104 effectively. Let’s learn a few tips and tricks.
- Know the multiples of 104: Memorize the multiples of 104 (104, 208, 312, etc.) to quickly check divisibility. If the number matches or is a multiple, it is divisible by 104.
- Use the basic divisibility rules: Remember the specific rules for 8 and 13. If a number is divisible by both, it is divisible by 104.
- Repeat the process for large numbers: If the number is large, break it down into smaller sections to apply the rules of 8 and 13 separately and check the divisibility.
- Use the division method to verify: Students can use the division method to verify and crosscheck their results, reinforcing their understanding of divisibility.
Common Mistakes and How to Avoid Them in Divisibility Rule of 104
The divisibility rule of 104 helps us quickly check if a number is divisible by 104, but common mistakes like calculation errors can lead to incorrect conclusions. Here, we will discuss some common mistakes and solutions.
Mistake 1
Not checking for both 8 and 13.
Always ensure the number is divisible by both 8 and 13 since 104 is their product.
Mistake 2
Incorrectly applying rules for 8 or 13.
Familiarize yourself with the correct rules for 8 (last three digits) and 13 (alternating sums).
Mistake 3
Forgetting to repeat the process when necessary.
If the result is inconclusive or the number is large, break it into smaller parts and reapply the rules.
Mistake 4
Confusing the steps.
Practice regularly to memorize and correctly apply the steps.
Mistake 5
NIL
NIL
Divisibility Rule of 104 Examples
Problem 1
Is 832 divisible by 104?
Yes, 832 is divisible by 104.
Explanation
To check if 832 is divisible by 104, we can directly divide 832 by 104.
1) 832 ÷ 104 = 8.
2) Since the result is a whole number, 832 is divisible by 104.
Problem 2
Check if 1248 is divisible by 104.
Yes, 1248 is divisible by 104.
Explanation
To verify the divisibility of 1248 by 104, divide the number by 104.
1) 1248 ÷ 104 = 12.
2) Since the division gives a whole number, 1248 is divisible by 104.
Problem 3
Is 936 divisible by 104?
No, 936 is not divisible by 104.
Explanation
To determine if 936 is divisible by 104, we divide 936 by 104.
1) 936 ÷ 104 ≈ 9.
2) The result is not a whole number, so 936 is not divisible by 104.
Problem 4
Can 208 be considered divisible by 104?
Yes, 208 is divisible by 104.
Explanation
Check the divisibility by dividing 208 by 104.
1) 208 ÷ 104 = 2.
2) As the result is a whole number, 208 is divisible by 104.
Problem 5
Verify if 624 is divisible by 104.
Yes, 624 is divisible by 104.
Explanation
To verify the divisibility of 624 by 104, perform the division.
1) 624 ÷ 104 = 6.
2) The division results in a whole number, confirming 624 is divisible by 104.
FAQs on Divisibility Rule of 104
1.What is the divisibility rule for 104?
2.How can I quickly check if a number is divisible by 8?
3. How can I verify if a number is divisible by 13?
4.Is 312 divisible by 104?
5.Does the divisibility rule of 104 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 104?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 104 with numbers?
8.What role do numbers and Divisibility Rule of 104 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 104 skills?
Important Glossaries for Divisibility Rule of 104
- Divisibility rule: A set of guidelines used to determine if a number is divisible by another without performing division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 104 are 104, 208, 312, etc.
- Factors: Numbers that multiply together to form another number. For example, 8 and 13 are factors of 104.
- Sum: The result of adding two or more numbers.
- Product: The result of multiplying two or more numbers together.
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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.
