Divisibility Rule of 374
2026-02-28 09:18 Diff
https://brightchamps.com/en-us/math/numbers/divisibility-rule-of-374

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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 374.

What is the Divisibility Rule of 374?

The divisibility rule for 374 is a method by which we can find out if a number is divisible by 374 or not without using the division method. Check whether 748 is divisible by 374 with the divisibility rule.
 

Step 1: Split the number into two parts, one with the last three digits, and the other with the remaining digits. Here in 748, the last three digits are 748.
 

Step 2: Check if the last three-digit number (748) is a multiple of 374.
 

Step 3: Since 748 divided by 374 equals 2, which is an integer, the number is divisible by 374. If the quotient isn't an integer, then the number isn't divisible by 374.
 

Tips and Tricks for Divisibility Rule of 374

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 374.
 

  • Know the multiples of 374: Memorize the multiples of 374 (374, 748, 1122, 1496, etc.) to quickly check divisibility. If the number itself or the last three digits form a multiple of 374, then the number is divisible by 374.
     
  • 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 374

The divisibility rule of 374 helps us to quickly check if the given number is divisible by 374, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.

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Problem 1

Is 748 divisible by 374?

Okay, lets begin

Yes, 748 is divisible by 374.
 

Explanation

To check if 748 is divisible by 374, we need to apply the relevant divisibility rule:

1) Divide 748 by 374. The result is exactly 2.

2) The division results in an integer, indicating that 748 is divisible by 374 with no remainder.

Well explained 👍

Problem 2

Check the divisibility rule of 374 for 1122.

Okay, lets begin

Yes, 1122 is divisible by 374.

Explanation

Let's evaluate if 1122 is divisible by 374 using the rule:

1) Divide 1122 by 374. The result is exactly 3.

2) Since the division yields an integer, 1122 is divisible by 374 without any remainder.

Well explained 👍

Problem 3

Is 561 divisible by 374?

Okay, lets begin

No, 561 is not divisible by 374.
 

Explanation

To verify if 561 is divisible by 374, follow the steps:

1) Divide 561 by 374. The result is approximately 1.5.

2) The result is not an integer, hence 561 is not divisible by 374.

Well explained 👍

Problem 4

Can 7480 be divisible by 374 following the divisibility rule?

Okay, lets begin

Yes, 7480 is divisible by 374.

Explanation

To determine if 7480 is divisible by 374, perform the following:

1) Divide 7480 by 374. The result is exactly 20.

2) Since the division results in an integer, 7480 is divisible by 374 perfectly.

Well explained 👍

Problem 5

Check the divisibility rule of 374 for 4488.

Okay, lets begin

Yes, 4488 is divisible by 374.

Explanation

We need to check if 4488 is divisible by 374:

1) Divide 4488 by 374. The result is exactly 12.

2) Because the division results in an integer, 4488 is divisible by 374 without any remainder.

Well explained 👍

FAQs on Divisibility Rule of 374

1.What is the divisibility rule for 374?

The divisibility rule for 374 involves checking if the last three digits of the number form a multiple of 374.
 

2.How many numbers are there between 1 and 1500 that are divisible by 374?

There are four numbers that can be divided by 374 between 1 and 1500. The numbers are 374, 748, 1122, and 1496.

3.Is 1122 divisible by 374?

Yes, because 1122 is a multiple of 374 (374 × 3 = 1122).

4.What if I get 0 after division?

If you get a remainder of 0 after division, it is considered that the number is divisible by 374.

5.Does the divisibility rule of 374 apply to all the integers?

Yes, the divisibility rule of 374 applies to all integers.

Important Glossaries for Divisibility Rule of 374

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
     
  • Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 374 are 374, 748, 1122, etc.
     
  • Integers: Numbers that include all whole numbers, negative numbers, and zero.
     
  • Division: A process of determining how many times one number is contained within another.
     
  • Verification: The process of checking the accuracy of results, often using an alternative method like division.
     

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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.