Prime Factors of 1163

Steps to find Prime Factors of 1163 by Division Method

To find the primefactors of 1163 using the division method, follow these steps:

• Step 1. Start dividing 1163 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 1163, which is 1163. Divide 1163 by 1163 to obtain the quotient (1).
  1163 ÷ 1163 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1163 is, 1163 = 1163.

Steps to find Prime Factors of 1163 by Factor Tree Method

We can follow the same procedure using the factor tree of 1163 as shown below:

So, the prime factorization of 1163 is, 1163 = 1163.

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 1163 are 1163.

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 1163 but not a prime factor of 1163.

Frequently Asked Questions

• Which is the smallest prime factor of 1163?

  Smallest prime factor of 1163 is 1163.

• Is 1163 a perfect square?

  No 1163 is not a perfect square.

• What is the prime factorization of 1163?

  Prime factorization of 1163 is 1163.

• What is prime factorization of 1163 in exponential form?

  Prime factorization of 1163 in exponential form is 1163.

• Is 1163 a prime number?

  true, 1163 is a prime number.

• Which is the largest prime factors of 1163?

  The largest prime factor of 1163 is 1163.

• What is the product of all prime factors of 1163?

  Prime factors of 1163 are 1163. Therefore, their product is 1163.

• What is the sum of all odd prime factors of 1163?

  Prime factors of 1163 are 1163, out of which 1163 are odd numbers. So, the sum of odd prime factors of 1163 is 1163 = 1163.

• What is the product of all odd prime factors of 1163?

  Prime factors of 1163 are 1163, out of which 1163 are odd numbers. So, the product of odd prime factors of 1163 is 1163 = 1163.