# Factors of 275

Factors of 275 are 1, 5, 11, 25, 55, and 275

#### How to find factors of a number

 1.   Find factors of 275 using Division Method 2.   Find factors of 275 using Prime Factorization 3.   Find factors of 275 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 275

• Divide 275 by 1: 275 ÷ 1 : Remainder = 0
• Divide 275 by 5: 275 ÷ 5 : Remainder = 0
• Divide 275 by 11: 275 ÷ 11 : Remainder = 0
• Divide 275 by 25: 275 ÷ 25 : Remainder = 0
• Divide 275 by 55: 275 ÷ 55 : Remainder = 0
• Divide 275 by 275: 275 ÷ 275 : Remainder = 0

Hence, Factors of 275 are 1, 5, 11, 25, 55, and 275

#### 2. Steps to find factors of 275 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 275 using the division method, follow these steps:

• Step 1. Start dividing 275 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 275, which is 5. Divide 275 by 5 to obtain the quotient (55).
275 ÷ 5 = 55
• Step 3. Repeat step 1 with the obtained quotient (55).
55 ÷ 5 = 11
11 ÷ 11 = 1

So, the prime factorization of 275 is, 275 = 5 x 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 275 as shown below:

So, the prime factorization of 275 is, 275 = 5 x 5 x 11.

#### 3. Find factors of 275 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 275 would be the two numbers which, when multiplied, give 275 as the result.

The following table represents the calculation of factors of 275 in pairs:

Factor Pair Pair Factorization
1 and 275 1 x 275 = 275
5 and 55 5 x 55 = 275
11 and 25 11 x 25 = 275

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 275. They are called negative pair factors.

Hence, the negative pairs of 275 would be ( -1 , -275 ) , ( -5 , -55 ) and ( -11 , -25 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 275 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 5, 11, 25, 55, 275 are exact divisors of 275.
• Factors of 275 are 1, 5, 11, 25, 55, 275. Each factor divides 275 without leaving a remainder.

• What are the pair factors of 275?

Pair factors of 275 are (1,275), (5,55), (11,25).

• What are five multiples of 275?

First five multiples of 275 are 550, 825, 1100, 1375, 1650.

• What two numbers make 275?

Two numbers that make 275 are 5 and 55.

• What is the sum of all factors of 275?

The sum of all factors of 275 is 372.

• What are factors of -275?

Factors of -275 are -1, -5, -11, -25, -55, -275.

• What are factors of 275?

Factors of 275 are 1, 5, 11, 25, 55, 275.

• Is 275 a perfect square?

No 275 is not a perfect square.

• Which is the smallest prime factor of 275?

Smallest prime factor of 275 is 5.

• Which is greatest factor of 275?

The greatest factor of 275 is 55.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 275?

Factors of 275 are 1, 5, 11, 25, 55, 275.
Odd factors of 275 are 1, 5, 11, 25, 55, 275.
Hence product of odd factors of 275 is; 1 x 5 x 11 x 25 x 55 x 275 = 20796875.

Joey wants to write all the prime factors of 275 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 275 are 5, 5, 11.
So in exponential form it can be written as 52 x 11.

How many factors are there for 275?

Factors of 275 are 1, 5, 11, 25, 55, 275.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 275. Can you predict the answer?

5 factor(s) of 275 are 1, 5, 11, 25, 55.

Sammy is puzzled while calculating the prime factors of 275. Can you help him find them?

Factors of 275 are 1, 5, 11, 25, 55, 275.
Prime factors of 275 are 5, 5, 11

What is prime factorization of 275?

Prime factorization of 275 is 5 x 5 x 11 = 52 x 11.

Can you help Rubel to find out the product of the even factors of 275?

Factors of 275 are 1, 5, 11, 25, 55, 275.
Even factors of 275 are 0.
Hence, product of even factors of 275 is; 0 = 0.