Prime Factors of 8303

Steps to find Prime Factors of 8303 by Division Method

To find the primefactors of 8303 using the division method, follow these steps:

• Step 1. Start dividing 8303 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 8303, which is 19. Divide 8303 by 19 to obtain the quotient (437).
  8303 ÷ 19 = 437
• Step 3. Repeat step 1 with the obtained quotient (437).
  437 ÷ 19 = 23
  23 ÷ 23 = 1

So, the prime factorization of 8303 is, 8303 = 19 x 19 x 23.

Steps to find Prime Factors of 8303 by Factor Tree Method

We can follow the same procedure using the factor tree of 8303 as shown below:

So, the prime factorization of 8303 is, 8303 = 19 x 19 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 8303 are 19 x 19 x 23.

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 8303 but not a prime factor of 8303.

Frequently Asked Questions

• Which is the smallest prime factor of 8303?

  Smallest prime factor of 8303 is 19.

• What are the factors of 8303?

  Factors of 8303 are 1 , 19 , 23 , 361 , 437 , 8303.

• What is prime factorization of 8303 in exponential form?

  Prime factorization of 8303 in exponential form is 19² x 23.

• Is 8303 a prime number or a composite number?

  8303 is a composite number.

• Is 8303 a prime number?

  false, 8303 is not a prime number.

• What is the sum of all prime factors of 8303?

  Prime factors of 8303 are 19 x 19 x 23. Therefore, their sum is 61.

• What is the product of all prime factors of 8303?

  Prime factors of 8303 are 19 x 19 x 23. Therefore, their product is 8303.

• What numbers are the prime factors of 8303?

  Prime factors of 8303 are 19 , 19 , 23.

• What is the sum of all odd prime factors of 8303?

  Prime factors of 8303 are 19 , 19 , 23, out of which 19 , 19 , 23 are odd numbers. So, the sum of odd prime factors of 8303 is 19 + 19 + 23 = 61.