# Prime Factors of 5313

Prime Factors of 5313 are 3, 7, 11, and 23

#### How to find prime factors of a number

 1.   Prime Factorization of 5313 by Division Method 2.   Prime Factorization of 5313 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 5313 by Division Method

To find the primefactors of 5313 using the division method, follow these steps:

• Step 1. Start dividing 5313 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 5313, which is 3. Divide 5313 by 3 to obtain the quotient (1771).
5313 ÷ 3 = 1771
• Step 3. Repeat step 1 with the obtained quotient (1771).
1771 ÷ 7 = 253
253 ÷ 11 = 23
23 ÷ 23 = 1

So, the prime factorization of 5313 is, 5313 = 3 x 7 x 11 x 23.

#### Steps to find Prime Factors of 5313 by Factor Tree Method

We can follow the same procedure using the factor tree of 5313 as shown below:

So, the prime factorization of 5313 is, 5313 = 3 x 7 x 11 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 5313 are 3 x 7 x 11 x 23.

#### 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 5313 but not a prime factor of 5313.

• Which is the smallest prime factor of 5313?

Smallest prime factor of 5313 is 3.

• What is the prime factorization of 5313?

Prime factorization of 5313 is 3 x 7 x 11 x 23.

• What is prime factorization of 5313 in exponential form?

Prime factorization of 5313 in exponential form is 3 x 7 x 11 x 23.

• Is 5313 a prime number or a composite number?

5313 is a composite number.

• Is 5313 a prime number?

false, 5313 is not a prime number.

• How to find prime factorization of 5313 easily?

To find prime factorization of 5313 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 5313?

The largest prime factor of 5313 is 23.

• What is the product of all prime factors of 5313?

Prime factors of 5313 are 3 x 7 x 11 x 23. Therefore, their product is 5313.

• What is the sum of all odd prime factors of 5313?

Prime factors of 5313 are 3 , 7 , 11 , 23, out of which 3 , 7 , 11 , 23 are odd numbers. So, the sum of odd prime factors of 5313 is 3 + 7 + 11 + 23 = 44.