Factors of 275
2026-02-28 23:44 Diff
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Last updated on December 11, 2025

Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.

What are the factors of 275?

Factors are the numbers that help us divide things equally without any leftovers. Let’s learn about the Factors of 275 which are 1,5,11,25,55 and 275. The number has both positive and negative integers that divide 275 without leaving any remainder. 

How to find the factors of 275?

Factors help us divide numbers equally, making calculations faster and easier. Few methods used by the children for solving factors are as follows - 
 

Finding Factors Using Multiplication

In this method, we take two numbers and find the product of those two numbers to get the required number.


Example:


11×25=275


1×275=275


5 × 55=275


 which means that 1, 5,11,25,55, and 275 are the factors of 275.

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Finding Factors by Division Method

We divide 275 by numbers starting from 1 and see which number gives the remainder of 0.


275 1=275


275 5=55


275 11=25

So the factors are 1, 5,11,25,55, and 275.

Prime Factors and Prime Factorization

The breaking down of numbers as prime factors is called prime factorization. The factors of 275 are:


275= 5 × 5 × 11
 

Factor tree

A factor tree shows how a number can be parted down into prime factors.275 is broken down into two factors, 1, 5,11,25,55, and 275.
 

Factor Pairs

Positive and negative pairs:


A number should have both positive and negative factors:


Positive Pairs: (1, 275), (5, 55), (11, 25)


Negative Pairs: (-1, -275), (-5, -55), (-11, -25)

Common Mistakes and How to Avoid Them in Factors of 275

While learning about factors of 275, students may likely make mistakes, to avoid a few mistakes solutions are given below:
 

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Problem 1

Find the sum of all positive factors of 275.

Okay, lets begin

Sum of the factors: 1+5+11+25+55+275=372, we add all the factors of 372.
 

Explanation

The factors of 275 are: 1,5,11,25,55, and 275.


Step 1: Sum the factors:


1+5+11+25+55+275=372


Answer: The sum of all positive factors of 275 is 372.
 

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Problem 2

Find the GCF of 275 and 330.

Okay, lets begin

55 is the largest common factor for both these numbers

Explanation

Factors of 275: 1, 5, 11, 25, 55, 275


Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330


GCF: The largest common factor is 55.


The largest factor common to both numbers is 55.
 

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Problem 3

Find the pairs of numbers that multiply to give 275.

Okay, lets begin

The pairs are (1,275), (5,55), and (11,25).
 

Explanation

5×55=275


11×25=275


1×275=275


So, the factors are 1, 5, 11, 25, 55, and 275.

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FAQs on Factors of 275

1.What is the prime factorization of 275?

The prime factorization of 275 is 275= 5 × 5 × 11.
 

2.Is 275 a multiple of 25?

Yes, 275 a multiple of 25. When we divide 275/25 gives 11. The multiples of 25 are 25,50,75,100,125,150,175,200,225,250,275,300. 

3.Is 275 a perfect cube?

No 275 is not a perfect cube, 275 lies between 343, so we get decimal values and not whole numbers. Therefore, 275 is a perfect cube.
 

4.What number is 275 divisible by?

 To check the divisibility, we find the number which divides it evenly. It is divisible by these numbers: 2,3,4,5,6,7,8,9,10,11.
 

5.What is the GCF of 165 and 275?

Factors of 165: 


165=3x5x11


Factors of 275: 


275=5x5x11


55 is the GCF of 165 and 275.
 

Important Glossaries for Factors of 275

  • Prime Factorization: It is a method to break down a number into prime factors, for example: 2 x 79.
  • Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.
  • Even number: A number that when divided by 2 gives a whole number.

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