208 LearnersLast updated on May 26th, 2025
Factors of 275
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.
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:
Mistake 1
Improper calculation in division
Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.
factors of 275 Examples
Problem 1
Find the sum of all positive factors of 275.
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.
Problem 2
Find the GCF of 275 and 330.
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.
Problem 3
Find the pairs of numbers that multiply to give 275.
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.
FAQs on Factors of 275
1.What is the prime factorization of 275?
2.Is 275 a multiple of 25?
3.Is 275 a perfect cube?
4.What number is 275 divisible by?
5.What 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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