Prime Factors of 5324

Steps to find Prime Factors of 5324 by Division Method

To find the primefactors of 5324 using the division method, follow these steps:

• Step 1. Start dividing 5324 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 5324, which is 2. Divide 5324 by 2 to obtain the quotient (2662).
  5324 ÷ 2 = 2662
• Step 3. Repeat step 1 with the obtained quotient (2662).
  2662 ÷ 2 = 1331
  1331 ÷ 11 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 5324 is, 5324 = 2 x 2 x 11 x 11 x 11.

Steps to find Prime Factors of 5324 by Factor Tree Method

We can follow the same procedure using the factor tree of 5324 as shown below:

So, the prime factorization of 5324 is, 5324 = 2 x 2 x 11 x 11 x 11.

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 5324 are 2 x 2 x 11 x 11 x 11.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 5324 but not a prime factor of 5324.

Frequently Asked Questions

• Which is the smallest prime factor of 5324?

  Smallest prime factor of 5324 is 2.

• What is the prime factorization of 5324?

  Prime factorization of 5324 is 2 x 2 x 11 x 11 x 11.

• What are the factors of 5324?

  Factors of 5324 are 1 , 2 , 4 , 11 , 22 , 44 , 121 , 242 , 484 , 1331 , 2662 , 5324.

• Is 5324 a prime number or a composite number?

  5324 is a composite number.

• Is 5324 a prime number?

  false, 5324 is not a prime number.

• Which is the largest prime factors of 5324?

  The largest prime factor of 5324 is 11.

• What is the sum of all prime factors of 5324?

  Prime factors of 5324 are 2 x 2 x 11 x 11 x 11. Therefore, their sum is 37.

• What numbers are the prime factors of 5324?

  Prime factors of 5324 are 2 , 2 , 11 , 11 , 11.

• What is the sum of all odd prime factors of 5324?

  Prime factors of 5324 are 2 , 2 , 11 , 11 , 11, out of which 11 , 11 , 11 are odd numbers. So, the sum of odd prime factors of 5324 is 11 + 11 + 11 = 33.