Prime Factors of 1197

Steps to find Prime Factors of 1197 by Division Method

To find the primefactors of 1197 using the division method, follow these steps:

• Step 1. Start dividing 1197 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 1197, which is 3. Divide 1197 by 3 to obtain the quotient (399).
  1197 ÷ 3 = 399
• Step 3. Repeat step 1 with the obtained quotient (399).
  399 ÷ 3 = 133
  133 ÷ 7 = 19
  19 ÷ 19 = 1

So, the prime factorization of 1197 is, 1197 = 3 x 3 x 7 x 19.

Steps to find Prime Factors of 1197 by Factor Tree Method

We can follow the same procedure using the factor tree of 1197 as shown below:

So, the prime factorization of 1197 is, 1197 = 3 x 3 x 7 x 19.

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 1197 are 3 x 3 x 7 x 19.

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 1197 but not a prime factor of 1197.

Frequently Asked Questions

• Which is the smallest prime factor of 1197?

  Smallest prime factor of 1197 is 3.

• Is 1197 a perfect square?

  No 1197 is not a perfect square.

• What is the prime factorization of 1197?

  Prime factorization of 1197 is 3 x 3 x 7 x 19.

• What are the factors of 1197?

  Factors of 1197 are 1 , 3 , 7 , 9 , 19 , 21 , 57 , 63 , 133 , 171 , 399 , 1197.

• What is prime factorization of 1197 in exponential form?

  Prime factorization of 1197 in exponential form is 3² x 7 x 19.

• Is 1197 a prime number or a composite number?

  1197 is a composite number.

• Is 1197 a prime number?

  false, 1197 is not a prime number.

• How to find prime factorization of 1197 easily?

  To find prime factorization of 1197 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1197?

  The largest prime factor of 1197 is 19.