Steps to find Prime Factors of 1151 by Division Method

To find the primefactors of 1151 using the division method, follow these steps:

  • Step 1. Start dividing 1151 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 1151, which is 1151. Divide 1151 by 1151 to obtain the quotient (1).
    1151 ÷ 1151 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1151 is, 1151 = 1151.

Steps to find Prime Factors of 1151 by Factor Tree Method

We can follow the same procedure using the factor tree of 1151 as shown below:

So, the prime factorization of 1151 is, 1151 = 1151.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 1151 are 1151.

Properties of Prime Factors

  • For any given number there is one and only one set of unique prime factors.
  • 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
  • Two prime factors of a given number 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 1151 but not a prime factor of 1151.

Frequently Asked Questions

  • Which is the smallest prime factor of 1151?

    Smallest prime factor of 1151 is 1151.

  • What are the factors of 1151?

    Factors of 1151 are 1 , 1151.

  • What is prime factorization of 1151 in exponential form?

    Prime factorization of 1151 in exponential form is 1151.

  • Is 1151 a prime number or a composite number?

    1151 is a prime number.

  • Is 1151 a prime number?

    true, 1151 is a prime number.

  • What is the sum of all prime factors of 1151?

    Prime factors of 1151 are 1151. Therefore, their sum is 1151.

  • What is the product of all prime factors of 1151?

    Prime factors of 1151 are 1151. Therefore, their product is 1151.

  • What numbers are the prime factors of 1151?

    Prime factors of 1151 are 1151.

  • What is the sum of all odd prime factors of 1151?

    Prime factors of 1151 are 1151, out of which 1151 are odd numbers. So, the sum of odd prime factors of 1151 is 1151 = 1151.