Factors of 274
2026-02-28 10:55 Diff
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Last updated on December 12, 2025

A number which divides another number exactly without leaving any remainder is called a factor of the given number. Factors play an important role in many real-life situations. They are useful in deciding the best time to schedule work shifts and events.

What are the Factors of 274?

Factors almost often come in pairs. There are several methods to figure them out, which you'll be learning about in a second. For now let's just focus on the factors of 274, which are mentioned below:


Negative factors of 274: -1, -2, -137, and -274
Prime factors of 274: 2 and 137
Prime factorization of 274: 2 × 137
The sum of factors of 274: 1 + 2 + 137 + 274 = 414
 

How to Find the Factors of 274?

For finding factors, school kids use different methods for easy calculation. A few commonly used methods are as follows:

  1. Use of Multiplication Method
  2. Use of Division Method
  3. Use of Prime Factors and Prime Factorization.

So, here we discuss a detailed explanation of the following methods:
 

Finding Factors Using Multiplication Method

In the multiplication method, we will try to find out the numbers that multiplies together to give the value, 274. We will check the factors step by step:


Step 1: Start to multiply with numbers, which gives the value of 274.

Start with 1, and continue to multiply with other numbers. 


1 × 274= 274
2 × 137= 274


Step 2: After the calculation, we get these numbers, the factors of 274.


Step 3: The positive factor pairs of 274 are (1, 274) and (2, 137).


Step 4: The negative factor pairs of 274 are (-1, -274) and (-2, -137)
 

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Finding Factors Using Division Method

Using this method we will break down the given number till our remainder is zero. Let us go through the step-by-step process to find the factors of 274:


Step 1: Divide 274 by smaller numbers and see if there is any remainder. E.g., 274/1 = 274. 


Step 2: We will continue in the same way and check for other numbers as well. For 274, the factors are 1, 2, 137, and 274. Because 274 can be divided evenly by these numbers.
 

Prime Factors and Prime Factorization

The prime factors of 274 are 2 and 137. The prime factors can be found using the methods given below:

  • Prime Factorization
  • Factor Tree

By Using Prime Factorization: It is a method in which, we break down a number into its prime factor. 
2 is the smallest prime number, so start dividing with two. And then continue to divide with other prime numbers.


274/2 = 137 
137/137 = 1


 The prime factorization of 274 is:


 274 = 2 × 137


With prime factorization, 274 can be broken down into prime factors, 2 and 137.
 

Using Factor Tree

A factor tree is a graphical representation of breaking a composite number into its prime factors. It is an easy method to find out factors of any number.


Step 1: 274 divided by 2 gives us the quotient 137.


Step 2: Since 137 is a prime number, it cannot be divided further.


 The prime factorization of 274 is written below : 


274 = 2 × 137.
 

Factor Pairs

Every number has either a positive or negative factor. Let us look at those sets of factors.


Positive pair Factors: (1, 274), (2, 137)
Negative pair Factors: (-1, -274), (-2, -137)
 

Common Mistakes and How to Avoid Them in Factors Of 274

Children tend to make mistakes while finding the factors of a number. Let us look at how to avoid those mistakes.
 

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Problem 1

If a ribbon is 274 cm long, can it be cut into equal pieces of 137 cm?

Okay, lets begin

 Yes, 2 pieces.
 

Explanation

By dividing 274 by 137, we get 2 as the quotient without remainder. Factors divide evenly without any remainder.
 

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Problem 2

A box contains 274 chocolates. How to divide them among 137 children equally?

Okay, lets begin

Each gets 2 chocolates.
 

Explanation

Yes, 274 chocolates can be shared equally among 137 children. Each child will get 2 chocolates, with nothing left over.
 

Well explained 👍

Problem 3

A piece of wire is 274 cm. When you cut this into equal parts of 2 cm each, calculate how many pieces are there

Okay, lets begin

137 pieces.
 

Explanation

 The wire is 274 cm long. If you cut it into 2 cm pieces, you divide 274 by 2. This gives 137 pieces. So, there are 137 pieces.
 

Well explained 👍

Problem 4

A group of 274 students must form teams of 2 or 137. How many teams can be formed in each case?

Okay, lets begin

274 ÷2 =137, so either 2 teams with 137 members or 137 teams with 2 members.

Explanation

There can be 137 teams with 2 students in each, or 2 teams with 137 students in each. Both 2 and 137 divide 274 equally.

Well explained 👍

Problem 5

A garden fence is 274 meters long. Can it be divided into 2-meter sections?

Okay, lets begin

 Yes, 137 sections.
 

Explanation

Yes, the garden fence can be divided into 2-meter sections. 274 ÷ 2 equals 137, with no leftovers. So, 2 is a factor of 274. There are 137 sections.
 

Well explained 👍

FAQs on Factors Of 274

1.What are the factors of 274?

The factors of 274 are 1, 2, 137, and 274.
 

2.Is 274 a perfect square?

3.Is 274 a prime number?

No, 274 is a composite number. It has more than 2 factors.
 

4.Is 8 a factor of 274?

No, 8 is not a factor of 274. Because 274 is not divisible by 8.
 

5.Mention the greatest factor of 274.

Important Glossaries for Factors of 274

  • Factors: Factors are numbers that divide a given number exactly, without any remainder. For example, 6 is divisible by 1, 2, 3, and 6. Therefore, 1, 2, 3, and 6 are the factors of 6.
  • Prime Factors: Prime factors of the numbers that multiply together to give a certain product. For 274, the prime factors are 2 and 137.
  • Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).
     

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