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Last updated on February 26th, 2025

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Divisibility Rule of 785

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Foundation
Intermediate
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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 785.

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What is the Divisibility Rule of 785?

The divisibility rule for 785 is a method by which we can find out if a number is divisible by 785 or not without using the division method. Check whether 78415 is divisible by 785 with the divisibility rule.

Step 1: Since 785 is composed of the factors 5, 157, and 1, we need to check for divisibility by 5 and 157. 

- Divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5. Here, 78415 ends with 5, so it is divisible by 5. 

- Divisibility by 157: For simplicity, divide the number by 157 directly as it doesn't have a straightforward rule. 78415 ÷ 157 = 499, which is an integer. 
divisibility rule of 785

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Tips and Tricks for Divisibility Rule of 785

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 785.

Know the factors of 785:


Understand that 785 = 5 × 157. You need to check divisibility by both 5 and 157.

Check divisibility by 5:


Simply check if the number ends in 0 or 5.

Use direct division for large numbers:


Since there is no simple rule for 157, using direct division for larger numbers is often necessary.

Use the division method to verify:


Always verify and crosscheck your results with the division method to ensure accuracy.
 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 785

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Divisibility Rule of 785 Examples

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Problem 1

Can the number of pages in a book, totaling 2355, be evenly divided into sections of 785 pages?

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Explanation

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Problem 2

A company has 1570 products to be packaged, each box holding 785 products. Can the products be packed evenly without leftovers?

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Explanation

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Problem 3

Is it possible to distribute 3925 candies evenly among 5 friends if each friend receives an equal number of 785 candies?

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Explanation

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Problem 4

A parking lot has space for exactly 785 cars in each row. If there are 3140 cars, can they be arranged in full rows?

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Explanation

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Problem 5

A marathon runner completes a circuit of 785 meters. If they run a total distance of 4710 meters, how many complete circuits can they make?

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Explanation

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FAQs on Divisibility Rule of 785

1.What is the divisibility rule for 785?

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2.How do I check divisibility by 5?

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3.Is 3925 divisible by 785?

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4.What should I do if I can't remember the divisibility rule for 157?

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5.Does the divisibility rule of 785 apply to all integers?

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Important Glossaries for Divisibility Rule of 785

  • Divisibility Rule: A method to determine if one number is divisible by another without performing full division.

 

  • Factors: Numbers we multiply together to get another number, e.g., 5 and 157 are factors of 785.

 

  • Integer: Whole numbers that can be positive, negative, or zero.

 

  • Quotient: The result obtained by dividing one number by another.

 

  • Multiple: The product of a number and an integer, e.g., multiples of 785 are 785, 1570, 2355, etc.
     
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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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: She loves to read number jokes and games.

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