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
 

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:
 

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)
 

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.
 

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.
 

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.
 

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)
 

• 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).