Prime Factors of 1199

Steps to find Prime Factors of 1199 by Division Method

To find the primefactors of 1199 using the division method, follow these steps:

• Step 1. Start dividing 1199 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 1199, which is 11. Divide 1199 by 11 to obtain the quotient (109).
  1199 ÷ 11 = 109
• Step 3. Repeat step 1 with the obtained quotient (109).
  109 ÷ 109 = 1

So, the prime factorization of 1199 is, 1199 = 11 x 109.

Steps to find Prime Factors of 1199 by Factor Tree Method

We can follow the same procedure using the factor tree of 1199 as shown below:

So, the prime factorization of 1199 is, 1199 = 11 x 109.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 1199 are 11 x 109.

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 1199 but not a prime factor of 1199.

Frequently Asked Questions

• Which is the smallest prime factor of 1199?

  Smallest prime factor of 1199 is 11.

• What are the factors of 1199?

  Factors of 1199 are 1 , 11 , 109 , 1199.

• What is prime factorization of 1199 in exponential form?

  Prime factorization of 1199 in exponential form is 11 x 109.

• Is 1199 a prime number or a composite number?

  1199 is a composite number.

• Is 1199 a prime number?

  false, 1199 is not a prime number.

• What is the sum of all prime factors of 1199?

  Prime factors of 1199 are 11 x 109. Therefore, their sum is 120.

• What is the product of all prime factors of 1199?

  Prime factors of 1199 are 11 x 109. Therefore, their product is 1199.

• What numbers are the prime factors of 1199?

  Prime factors of 1199 are 11 , 109.

• What is the sum of all odd prime factors of 1199?

  Prime factors of 1199 are 11 , 109, out of which 11 , 109 are odd numbers. So, the sum of odd prime factors of 1199 is 11 + 109 = 120.