Divisibility Rule of 740
2026-02-28 15:51 Diff

326 Learners

Last updated on August 5, 2025

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 740.

What is the Divisibility Rule of 740?

The divisibility rule for 740 is a method by which we can find out if a number is divisible by 740 or not without using the division method.

Check whether 1480 is divisible by 740 with the divisibility rule.

Step 1: Check if the number is divisible by 10 (the number must end in 0).

Step 2: Divide the number by 10, which gives us 148.

Step 3: Check if this new number (148) is divisible by 74, which is a multiple of 740.

Step 4: If 148 is divisible by 74, then the original number is divisible by 740. Since 148 divided by 74 equals 2, 1480 is divisible by 740.

Tips and Tricks for Divisibility Rule of 740

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 740.

  • Know the multiples of 740: Memorize the first few multiples of 740 (740, 1480, 2220, etc.) to quickly check divisibility. If the result from the division is a multiple of 740, then the number is divisible by 740.
  • Use a calculator for large numbers: For larger numbers, use a calculator to divide by 740 to quickly verify divisibility.
  • Repeat the process for large numbers: If the number is too large to handle mentally, break it down into smaller components and check divisibility step by step.
  • 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 verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 740

The divisibility rule of 740 helps us quickly check if a given number is divisible by 740, but common mistakes like calculation errors can lead to incorrect results. Here, we will understand some common mistakes and how to avoid them.

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Problem 1

Can 1480 apples be evenly distributed into boxes of 740 apples each?

Okay, lets begin

Yes, 1480 apples can be evenly distributed into boxes of 740 apples each.

Explanation

To check if 1480 is divisible by 740, divide 1480 by 740. The result is 2, which is a whole number, so 1480 is divisible by 740.

Well explained 👍

Problem 2

Check if a shipment of 2960 kilograms can be split into two shipments of 740 kilograms each.

Okay, lets begin

Yes, 2960 kilograms can be split into shipments of 740 kilograms each. 

Explanation

Divide 2960 by 740. The result is 4, which confirms that 2960 is divisible by 740.

Well explained 👍

Problem 3

Is a pipe 3700 meters long evenly divisible into sections of 740 meters?

Okay, lets begin

No, 3700 meters is not evenly divisible into sections of 740 meters.

Explanation

Divide 3700 by 740. The result is not a whole number (5 with a remainder), indicating that 3700 is not divisible by 740.

Well explained 👍

Problem 4

A book contains 2220 pages. Can it be split into volumes containing 740 pages each?

Okay, lets begin

No, 2220 pages cannot be evenly split into volumes of 740 pages each.

Explanation

Divide 2220 by 740. The result is not a whole number, so 2220 is not divisible by 740.

Well explained 👍

Problem 5

Check if 14800 units can be packed in crates holding 740 units each without leftovers.

Okay, lets begin

Yes, 14800 units can be packed in crates of 740 units each without leftovers.

Explanation

Divide 14800 by 740. The result is 20, a whole number, so 14800 is divisible by 740.

Well explained 👍

FAQs on Divisibility Rule of 740

1.What is the divisibility rule for 740?

The divisibility rule for 740 involves checking if the number ends in 0, then dividing by 10, and finally checking if the resulting number is divisible by 74.

2.How many numbers are there between 1 and 10000 that are divisible by 740?

There are 13 numbers that can be divided by 740 between 1 and 10000. The numbers are 740, 1480, 2220, 2960, 3700, 4440, 5180, 5920, 6660, 7400, 8140, 8880, 9620.

3.Is 2220 divisible by 740?

Yes, because 2220 divided by 740 equals 3, which is an integer.

4.What if I get a decimal after division?

If you get a decimal after division, it is considered that the number is not divisible by 740.

5.Does the divisibility rule of 740 apply to all integers?

Yes, the divisibility rule of 740 applies to all integers.

Important Glossaries for Divisibility Rule of 740

  • Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
  • Multiples: Numbers obtained by multiplying a given number by integers. For example, multiples of 740 are 740, 1480, 2220, etc.
  • Integers: Numbers that include all whole numbers, negative numbers, and zero.
  • Calculator: A tool used to perform mathematical operations, especially useful for verifying divisibility in large numbers.
  • Division: The process of determining how many times one number is contained within another.

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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.