Table Of Contents

Table of Contents

123 Learners

Last updated on February 18th, 2025

Divisibility Rule of 878

Q: What is the divisibility rule for 878?

The divisibility rule for 878 involves multiplying the last digit by 2, then subtracting the result from the remaining digits excluding the last digit, and then checking if the result is a multiple of 878.

Q: How many numbers are there between 1 and 5000 that are divisible by 878?

There are 5 numbers that can be divided by 878 between 1 and 5000. The numbers are 878, 1756, 2634, 3512, and 4390.

Q: Is 2634 divisible by 878?

Yes, because 2634 is a multiple of 878 (878 × 3 = 2634).

Q: What if I get 0 after subtracting?

If you get 0 after subtracting, it is considered as the number is divisible by 878.

Q: Does the divisibility rule of 878 apply to all the integers?

Yes, the divisibility rule of 878 applies to all the integers.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 878.

What is the Divisibility Rule of 878?

The divisibility rule for 878 is a method by which we can find out if a number is divisible by 878 or not without using the division method. Check whether 2634 is divisible by 878 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 2634, 4 is the last digit, multiply it by 2. 4 × 2 = 8.

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 263–8 = 255.

Step 3: As it is shown that 255 is not a multiple of 878, therefore, the number is not divisible by 878. If the result from step 2 was a multiple of 878, then the number would be divisible by 878. $divisibility rule of 878$

Tips and Tricks for Divisibility Rule of 878

Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 878.

Know the multiples of 878:

Memorize the multiples of 878 (878, 1756, 2634, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 878, then the number is divisible by 878.

Use negative numbers:

If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 878. For example, check if 7902 is divisible by 878 using the divisibility test. Multiply the last digit by 2, i.e., 2 × 2 = 4. Subtract the remaining digits excluding the last digit by 4, 790–4 = 786. Since 786 is a large number, repeat the process again and multiply the last digit by 2, 6 × 2 = 12. Now subtracting 12 from the remaining numbers, 78–12 = 66. As 66 is not a multiple of 878, 7902 is not divisible by 878.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 878

Divisibility Rule of 878 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

A shipping company uses containers that can hold exactly 878 cubic meters of cargo. If a shipment consists of 5,268 cubic meters, can it be perfectly divided among these containers?

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

Explanation

Problem 2

A fabric retailer sells cloth in rolls of 878 meters. A customer orders 8,780 meters. Will the rolls perfectly fit into this order?

Explanation

Problem 3

A library categorizes its books into boxes that hold 878 books each. If the library has 9,658 books, can these be packed evenly into the boxes?

Explanation

Problem 4

A company produces gadgets in batches of 878 units. If a client requests 7,024 units, can the production be organized into complete batches without leftover?

Explanation

Problem 5

A concert venue arranges seats in sections, each with 878 seats. If they plan to accommodate 21,072 guests, will all guests be seated perfectly into these sections?

Explanation

FAQs on Divisibility Rule of 878

1.What is the divisibility rule for 878?

2.How many numbers are there between 1 and 5000 that are divisible by 878?

3.Is 2634 divisible by 878?

4.What if I get 0 after subtracting?

5.Does the divisibility rule of 878 apply to all the integers?

Important Glossaries for Divisibility Rule of 878

Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 878 are 878, 1756, 2634, etc.
Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
Verification: The process of confirming the accuracy of a result through calculation, such as using the division method.