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Last updated on February 17th, 2025

Divisibility Rule of 104

Q: What is the divisibility rule for 104?

A number is divisible by 104 if it is divisible by both 8 and 13.

Q: How can I quickly check if a number is divisible by 8?

Check if the last three digits of the number form a number divisible by 8.

Q: How can I verify if a number is divisible by 13?

Sum the digits in alternating groups of two from right to left, alternately adding and subtracting, and check if the result is divisible by 13.

Q: Is 312 divisible by 104?

Yes, because 312 is a multiple of 104 (104 × 3 = 312).

Q: Does the divisibility rule of 104 apply to all integers?

Yes, the divisibility rule of 104 applies to all integers.

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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.

$divisibility rule of 104$

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

Divisibility Rule of 104 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is 832 divisible by 104?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Check if 1248 is divisible by 104.

Explanation

Problem 3

Is 936 divisible by 104?

Explanation

Problem 4

Can 208 be considered divisible by 104?

Explanation

Problem 5

Verify if 624 is divisible by 104.

Explanation

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?

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.