# Factors of 253

Factors of 253 are 1, 11, 23, and 253

#### How to find factors of a number

 1.   Find factors of 253 using Division Method 2.   Find factors of 253 using Prime Factorization 3.   Find factors of 253 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 253

• Divide 253 by 1: 253 ÷ 1 : Remainder = 0
• Divide 253 by 11: 253 ÷ 11 : Remainder = 0
• Divide 253 by 23: 253 ÷ 23 : Remainder = 0
• Divide 253 by 253: 253 ÷ 253 : Remainder = 0

Hence, Factors of 253 are 1, 11, 23, and 253

#### 2. Steps to find factors of 253 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 253 using the division method, follow these steps:

• Step 1. Start dividing 253 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 253, which is 11. Divide 253 by 11 to obtain the quotient (23).
253 ÷ 11 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
23 ÷ 23 = 1

So, the prime factorization of 253 is, 253 = 11 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 253 as shown below:

So, the prime factorization of 253 is, 253 = 11 x 23.

#### 3. Find factors of 253 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 253 would be the two numbers which, when multiplied, give 253 as the result.

The following table represents the calculation of factors of 253 in pairs:

Factor Pair Pair Factorization
1 and 253 1 x 253 = 253
11 and 23 11 x 23 = 253

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 253. They are called negative pair factors.

Hence, the negative pairs of 253 would be ( -1 , -253 ) , ( -11 , -23 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. 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, 11, 23, 253 are exact divisors of 253.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 253 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 253.

• What are the prime factors of 253?

The factors of 253 are 1, 11, 23, 253.
Prime factors of 253 are 11, 23.

• What is the sum of all factors of 253?

The sum of all factors of 253 is 288.

• What are the pair factors of 253?

Pair factors of 253 are (1,253), (11,23).

• What two numbers make 253?

Two numbers that make 253 are 11 and 23.

• What are multiples of 253?

First five multiples of 253 are 506, 759, 1012, 1265.

• Is 253 a perfect square?

No 253 is not a perfect square.

• Which is greatest factor of 253?

The greatest factor of 253 is 23.

• How do you factors of 253?

Factors of 253 are 1, 11, 23, 253.

• What are five multiples of 253?

First five multiples of 253 are 506, 759, 1012, 1265, 1518.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 253?

Factors of 253 are 1, 11, 23, 253.
Even factors of 253 are 0.
Hence, product of even factors of 253 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 253? Help her in writing all the factors.

Positive factors are 1, 11, 23, 253.
Negative factors are -1, -11, -23, -253.

How many factors are there for 253?

Factors of 253 are 1, 11, 23, 253.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 253. Can you help him find them?

Factors of 253 are 1, 11, 23, 253.
Prime factors of 253 are 11, 23

Joey wants to write all the prime factors of 253 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 253 are 11, 23.
So in exponential form it can be written as 11 x 23.

What is prime factorization of 253?

Prime factorization of 253 is 11 x 23 = 11 x 23.

Can you help Rubel to find out the product of the even factors of 253?

Factors of 253 are 1, 11, 23, 253.
Even factors of 253 are 0.
Hence, product of even factors of 253 is; 0 = 0.