Factors of 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:

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.

Frequently Asked Questions

• 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