Prime Factors of 7803

Steps to find Prime Factors of 7803 by Division Method

To find the primefactors of 7803 using the division method, follow these steps:

• Step 1. Start dividing 7803 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 7803, which is 3. Divide 7803 by 3 to obtain the quotient (2601).
  7803 ÷ 3 = 2601
• Step 3. Repeat step 1 with the obtained quotient (2601).
  2601 ÷ 3 = 867
  867 ÷ 3 = 289
  289 ÷ 17 = 17
  17 ÷ 17 = 1

So, the prime factorization of 7803 is, 7803 = 3 x 3 x 3 x 17 x 17.

Steps to find Prime Factors of 7803 by Factor Tree Method

We can follow the same procedure using the factor tree of 7803 as shown below:

So, the prime factorization of 7803 is, 7803 = 3 x 3 x 3 x 17 x 17.

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 7803 are 3 x 3 x 3 x 17 x 17.

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 7803 but not a prime factor of 7803.

Frequently Asked Questions

• Which is the smallest prime factor of 7803?

  Smallest prime factor of 7803 is 3.

• Is 7803 a perfect square?

  No 7803 is not a perfect square.

• What is the prime factorization of 7803?

  Prime factorization of 7803 is 3 x 3 x 3 x 17 x 17.

• What is prime factorization of 7803 in exponential form?

  Prime factorization of 7803 in exponential form is 3³ x 17².

• Is 7803 a prime number?

  false, 7803 is not a prime number.

• Which is the largest prime factors of 7803?

  The largest prime factor of 7803 is 17.

• What is the product of all prime factors of 7803?

  Prime factors of 7803 are 3 x 3 x 3 x 17 x 17. Therefore, their product is 7803.

• What is the sum of all odd prime factors of 7803?

  Prime factors of 7803 are 3 , 3 , 3 , 17 , 17, out of which 3 , 3 , 3 , 17 , 17 are odd numbers. So, the sum of odd prime factors of 7803 is 3 + 3 + 3 + 17 + 17 = 43.

• What is the product of all odd prime factors of 7803?

  Prime factors of 7803 are 3 , 3 , 3 , 17 , 17, out of which 3 , 3 , 3 , 17 , 17 are odd numbers. So, the product of odd prime factors of 7803 is 3 x 3 x 3 x 17 x 17 = 7803.