# Factors of 265

Factors of 265 are 1, 5, 53, and 265

#### How to find factors of a number

 1.   Find factors of 265 using Division Method 2.   Find factors of 265 using Prime Factorization 3.   Find factors of 265 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 265

• Divide 265 by 1: 265 ÷ 1 : Remainder = 0
• Divide 265 by 5: 265 ÷ 5 : Remainder = 0
• Divide 265 by 53: 265 ÷ 53 : Remainder = 0
• Divide 265 by 265: 265 ÷ 265 : Remainder = 0

Hence, Factors of 265 are 1, 5, 53, and 265

#### 2. Steps to find factors of 265 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 265 using the division method, follow these steps:

• Step 1. Start dividing 265 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 265, which is 5. Divide 265 by 5 to obtain the quotient (53).
265 ÷ 5 = 53
• Step 3. Repeat step 1 with the obtained quotient (53).
53 ÷ 53 = 1

So, the prime factorization of 265 is, 265 = 5 x 53.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 265 as shown below:

So, the prime factorization of 265 is, 265 = 5 x 53.

#### 3. Find factors of 265 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 265 would be the two numbers which, when multiplied, give 265 as the result.

The following table represents the calculation of factors of 265 in pairs:

Factor Pair Pair Factorization
1 and 265 1 x 265 = 265
5 and 53 5 x 53 = 265

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 265. They are called negative pair factors.

Hence, the negative pairs of 265 would be ( -1 , -265 ) , ( -5 , -53 ) .

#### 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 factor of a number is an exact divisor of that number, example 1, 5, 53, 265 are exact divisors of 265.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 265 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 265.

• Is 265 a perfect square?

No 265 is not a perfect square.

• What are factors of 265?

Factors of 265 are 1, 5, 53, 265.

• Which is greatest factor of 265?

The greatest factor of 265 is 53.

• What is the sum of all factors of 265?

The sum of all factors of 265 is 324.

• What are multiples of 265?

First five multiples of 265 are 530, 795, 1060, 1325.

• What is the greatest prime factors of 265?

The greatest prime factor of 265 is 53.

• What are six multiples of 265?

First five multiples of 265 are 530, 795, 1060, 1325, 1590, 1855.

• What is prime factorization of 265?

Prime factorization of 265 is 5 x 53.

• Is 265 a whole number?

Yes 265 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 265? Help her in writing all the factors.

Positive factors are 1, 5, 53, 265.
Negative factors are -1, -5, -53, -265.

Can you help Sammy find out the product of the odd factors of 265?

Factors of 265 are 1, 5, 53, 265.
Odd factors of 265 are 1, 5, 53, 265.
Hence product of odd factors of 265 is; 1 x 5 x 53 x 265 = 70225.

Joey wants to write all the prime factors of 265 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 265 are 5, 53.
So in exponential form it can be written as 5 x 53.

How many factors are there for 265?

Factors of 265 are 1, 5, 53, 265.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 265. Can you predict the answer?

3 factor(s) of 265 are 1, 5, 53.

Sammy is puzzled while calculating the prime factors of 265. Can you help him find them?

Factors of 265 are 1, 5, 53, 265.
Prime factors of 265 are 5, 53

What is prime factorization of 265?

Prime factorization of 265 is 5 x 53 = 5 x 53.