Prime Factors of 1198

Steps to find Prime Factors of 1198 by Division Method

To find the primefactors of 1198 using the division method, follow these steps:

• Step 1. Start dividing 1198 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 1198, which is 2. Divide 1198 by 2 to obtain the quotient (599).
  1198 ÷ 2 = 599
• Step 3. Repeat step 1 with the obtained quotient (599).
  599 ÷ 599 = 1

So, the prime factorization of 1198 is, 1198 = 2 x 599.

Steps to find Prime Factors of 1198 by Factor Tree Method

We can follow the same procedure using the factor tree of 1198 as shown below:

So, the prime factorization of 1198 is, 1198 = 2 x 599.

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 1198 are 2 x 599.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 1198 but not a prime factor of 1198.

Frequently Asked Questions

• Which is the smallest prime factor of 1198?

  Smallest prime factor of 1198 is 2.

• Is 1198 a perfect square?

  No 1198 is not a perfect square.

• What is the prime factorization of 1198?

  Prime factorization of 1198 is 2 x 599.

• What are the factors of 1198?

  Factors of 1198 are 1 , 2 , 599 , 1198.

• What is the product of all prime factors of 1198?

  Prime factors of 1198 are 2 x 599. Therefore, their product is 1198.

• What numbers are the prime factors of 1198?

  Prime factors of 1198 are 2 , 599.

• What is the sum of all odd prime factors of 1198?

  Prime factors of 1198 are 2 , 599, out of which 599 are odd numbers. So, the sum of odd prime factors of 1198 is 599 = 599.

• Is there any even prime factor of 1198?

  Yes there is a even prime factor of 1198.

• What is the product of all odd prime factors of 1198?

  Prime factors of 1198 are 2 , 599, out of which 599 are odd numbers. So, the product of odd prime factors of 1198 is 599 = 599.