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Last updated on February 14th, 2025

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Divisibility Rule of 478

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Intermediate
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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 divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 478.

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What is the Divisibility Rule of 478?

The divisibility rule for 478 is a method by which we can determine if a number is divisible by 478 or not without using the division method. Check whether 9560 is divisible by 478 with the divisibility rule.

 

Step 1: Identify and separate the last three digits of the number. In 9560, the last three digits are 560.

 

Step 2: Subtract these three digits from the rest of the number. Therefore, 9 - 560 = -551.

 

Step 3: If the result from step 2 is a multiple of 478 or becomes zero, then the number is divisible by 478. If not, the number is not divisible by 478.

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Tips and Tricks for Divisibility Rule of 478

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 478.

 

  • Know the multiples of 478: Memorize the multiples of 478 (478, 956, 1434, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 478, then the number is divisible by 478.

 

  • Use positive values: If the result we get after subtraction is negative, we will consider its absolute value for checking divisibility.

 

  • Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 478. For example, check if 19120 is divisible by 478 using the divisibility test. Separate the last three digits, which are 120. Subtract from the rest of the number: 19 - 120 = -101. Since -101 is not a multiple of 478, 19120 is not divisible by 478.

 

  • 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 verify and also learn.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 478

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Divisibility Rule of 478 Examples

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Problem 1

Is 956 divisible by 478?

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Explanation

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Problem 2

Verify if 1434 is divisible by 478.

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Explanation

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Problem 3

Is -956 divisible by 478?

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Explanation

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Problem 4

Can 1200 be divisible by 478 using a similar rule?

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Explanation

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Problem 5

Check if 1912 is divisible by 478.

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Explanation

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FAQs on Divisibility Rule of 478

1.What is the divisibility rule for 478?

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2.How many numbers are there between 1 and 5000 that are divisible by 478?

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3.Is 1434 divisible by 478?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 478 apply to all integers?

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Important Glossaries for Divisibility Rule of 478

  • Divisibility rule: A set of rules used to determine whether a number is divisible by another number or not. 

 

  • Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 478 are 478, 956, 1434, etc.

 

  • Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

 

  • Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.

 

  • Absolute value: The absolute value of a number is its distance from zero on the number line, regardless of direction, which is always a positive quantity.
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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.

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Fun Fact

: She loves to read number jokes and games.

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