Prime Factors of 5993

Steps to find Prime Factors of 5993 by Division Method

To find the primefactors of 5993 using the division method, follow these steps:

• Step 1. Start dividing 5993 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 5993, which is 13. Divide 5993 by 13 to obtain the quotient (461).
  5993 ÷ 13 = 461
• Step 3. Repeat step 1 with the obtained quotient (461).
  461 ÷ 461 = 1

So, the prime factorization of 5993 is, 5993 = 13 x 461.

Steps to find Prime Factors of 5993 by Factor Tree Method

We can follow the same procedure using the factor tree of 5993 as shown below:

So, the prime factorization of 5993 is, 5993 = 13 x 461.

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 5993 are 13 x 461.

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 5993 but not a prime factor of 5993.

Frequently Asked Questions

• Which is the smallest prime factor of 5993?

  Smallest prime factor of 5993 is 13.

• What is the prime factorization of 5993?

  Prime factorization of 5993 is 13 x 461.

• What is prime factorization of 5993 in exponential form?

  Prime factorization of 5993 in exponential form is 13 x 461.

• Is 5993 a prime number or a composite number?

  5993 is a composite number.

• Is 5993 a prime number?

  false, 5993 is not a prime number.

• How to find prime factorization of 5993 easily?

  To find prime factorization of 5993 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 5993?

  The largest prime factor of 5993 is 461.

• What is the product of all prime factors of 5993?

  Prime factors of 5993 are 13 x 461. Therefore, their product is 5993.

• What is the sum of all odd prime factors of 5993?

  Prime factors of 5993 are 13 , 461, out of which 13 , 461 are odd numbers. So, the sum of odd prime factors of 5993 is 13 + 461 = 474.