Prime Factors of 253

Steps to find Prime Factors of 253 by 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.

Steps to find Prime Factors of 253 by 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.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 253 are 11 x 23.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 253 but not a prime factor of 253.

Frequently Asked Questions

• Which is the smallest prime factor of 253?

  Smallest prime factor of 253 is 11.

• Is 253 a perfect square?

  No 253 is not a perfect square.

• What is the prime factorization of 253?

  Prime factorization of 253 is 11 x 23.

• What are the factors of 253?

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

• What is prime factorization of 253 in exponential form?

  Prime factorization of 253 in exponential form is 11 x 23.

• Is 253 a prime number or a composite number?

  253 is a composite number.

• Is 253 a prime number?

  false, 253 is not a prime number.

• How to find prime factorization of 253 easily?

  To find prime factorization of 253 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 253?

  The largest prime factor of 253 is 23.