Prime Factors of 1027

Steps to find Prime Factors of 1027 by Division Method

To find the primefactors of 1027 using the division method, follow these steps:

• Step 1. Start dividing 1027 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 1027, which is 13. Divide 1027 by 13 to obtain the quotient (79).
  1027 ÷ 13 = 79
• Step 3. Repeat step 1 with the obtained quotient (79).
  79 ÷ 79 = 1

So, the prime factorization of 1027 is, 1027 = 13 x 79.

Steps to find Prime Factors of 1027 by Factor Tree Method

We can follow the same procedure using the factor tree of 1027 as shown below:

So, the prime factorization of 1027 is, 1027 = 13 x 79.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 1027 are 13 x 79.

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 1027 but not a prime factor of 1027.

Frequently Asked Questions

• Which is the smallest prime factor of 1027?

  Smallest prime factor of 1027 is 13.

• Is 1027 a perfect square?

  No 1027 is not a perfect square.

• What is the prime factorization of 1027?

  Prime factorization of 1027 is 13 x 79.

• What is prime factorization of 1027 in exponential form?

  Prime factorization of 1027 in exponential form is 13 x 79.

• Is 1027 a prime number?

  false, 1027 is not a prime number.

• Which is the largest prime factors of 1027?

  The largest prime factor of 1027 is 79.

• What is the product of all prime factors of 1027?

  Prime factors of 1027 are 13 x 79. Therefore, their product is 1027.

• What is the sum of all odd prime factors of 1027?

  Prime factors of 1027 are 13 , 79, out of which 13 , 79 are odd numbers. So, the sum of odd prime factors of 1027 is 13 + 79 = 92.

• What is the product of all odd prime factors of 1027?

  Prime factors of 1027 are 13 , 79, out of which 13 , 79 are odd numbers. So, the product of odd prime factors of 1027 is 13 x 79 = 1027.