Prime Factors of 598

Steps to find Prime Factors of 598 by Division Method

To find the primefactors of 598 using the division method, follow these steps:

• Step 1. Start dividing 598 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 598, which is 2. Divide 598 by 2 to obtain the quotient (299).
  598 ÷ 2 = 299
• Step 3. Repeat step 1 with the obtained quotient (299).
  299 ÷ 13 = 23
  23 ÷ 23 = 1

So, the prime factorization of 598 is, 598 = 2 x 13 x 23.

Steps to find Prime Factors of 598 by Factor Tree Method

We can follow the same procedure using the factor tree of 598 as shown below:

So, the prime factorization of 598 is, 598 = 2 x 13 x 23.

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 598 are 2 x 13 x 23.

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 598 but not a prime factor of 598.

Frequently Asked Questions

• Which is the smallest prime factor of 598?

  Smallest prime factor of 598 is 2.

• Is 598 a perfect square?

  No 598 is not a perfect square.

• What is the prime factorization of 598?

  Prime factorization of 598 is 2 x 13 x 23.

• What are the factors of 598?

  Factors of 598 are 1 , 2 , 13 , 23 , 26 , 46 , 299 , 598.

• What is the product of all prime factors of 598?

  Prime factors of 598 are 2 x 13 x 23. Therefore, their product is 598.

• What numbers are the prime factors of 598?

  Prime factors of 598 are 2 , 13 , 23.

• What is the sum of all odd prime factors of 598?

  Prime factors of 598 are 2 , 13 , 23, out of which 13 , 23 are odd numbers. So, the sum of odd prime factors of 598 is 13 + 23 = 36.

• Is there any even prime factor of 598?

  Yes there is a even prime factor of 598.

• What is the product of all odd prime factors of 598?

  Prime factors of 598 are 2 , 13 , 23, out of which 13 , 23 are odd numbers. So, the product of odd prime factors of 598 is 13 x 23 = 299.