Prime Factors of 5423

Steps to find Prime Factors of 5423 by Division Method

To find the primefactors of 5423 using the division method, follow these steps:

• Step 1. Start dividing 5423 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 5423, which is 11. Divide 5423 by 11 to obtain the quotient (493).
  5423 ÷ 11 = 493
• Step 3. Repeat step 1 with the obtained quotient (493).
  493 ÷ 17 = 29
  29 ÷ 29 = 1

So, the prime factorization of 5423 is, 5423 = 11 x 17 x 29.

Steps to find Prime Factors of 5423 by Factor Tree Method

We can follow the same procedure using the factor tree of 5423 as shown below:

So, the prime factorization of 5423 is, 5423 = 11 x 17 x 29.

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 5423 are 11 x 17 x 29.

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 5423 but not a prime factor of 5423.

Frequently Asked Questions

• Which is the smallest prime factor of 5423?

  Smallest prime factor of 5423 is 11.

• What are the factors of 5423?

  Factors of 5423 are 1 , 11 , 17 , 29 , 187 , 319 , 493 , 5423.

• What is prime factorization of 5423 in exponential form?

  Prime factorization of 5423 in exponential form is 11 x 17 x 29.

• Is 5423 a prime number or a composite number?

  5423 is a composite number.

• Is 5423 a prime number?

  false, 5423 is not a prime number.

• What is the sum of all prime factors of 5423?

  Prime factors of 5423 are 11 x 17 x 29. Therefore, their sum is 57.

• What is the product of all prime factors of 5423?

  Prime factors of 5423 are 11 x 17 x 29. Therefore, their product is 5423.

• What numbers are the prime factors of 5423?

  Prime factors of 5423 are 11 , 17 , 29.

• What is the sum of all odd prime factors of 5423?

  Prime factors of 5423 are 11 , 17 , 29, out of which 11 , 17 , 29 are odd numbers. So, the sum of odd prime factors of 5423 is 11 + 17 + 29 = 57.