Steps to find Prime Factors of 783 by Division Method

To find the primefactors of 783 using the division method, follow these steps:

  • Step 1. Start dividing 783 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 783, which is 3. Divide 783 by 3 to obtain the quotient (261).
    783 ÷ 3 = 261
  • Step 3. Repeat step 1 with the obtained quotient (261).
    261 ÷ 3 = 87
    87 ÷ 3 = 29
    29 ÷ 29 = 1

So, the prime factorization of 783 is, 783 = 3 x 3 x 3 x 29.

Steps to find Prime Factors of 783 by Factor Tree Method

We can follow the same procedure using the factor tree of 783 as shown below:

So, the prime factorization of 783 is, 783 = 3 x 3 x 3 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 783 are 3 x 3 x 3 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 783 but not a prime factor of 783.

Frequently Asked Questions

  • Which is the smallest prime factor of 783?

    Smallest prime factor of 783 is 3.

  • What are the factors of 783?

    Factors of 783 are 1 , 3 , 9 , 27 , 29 , 87 , 261 , 783.

  • What is prime factorization of 783 in exponential form?

    Prime factorization of 783 in exponential form is 33 x 29.

  • Is 783 a prime number or a composite number?

    783 is a composite number.

  • Is 783 a prime number?

    false, 783 is not a prime number.

  • What is the sum of all prime factors of 783?

    Prime factors of 783 are 3 x 3 x 3 x 29. Therefore, their sum is 38.

  • What is the product of all prime factors of 783?

    Prime factors of 783 are 3 x 3 x 3 x 29. Therefore, their product is 783.

  • What numbers are the prime factors of 783?

    Prime factors of 783 are 3 , 3 , 3 , 29.

  • What is the sum of all odd prime factors of 783?

    Prime factors of 783 are 3 , 3 , 3 , 29, out of which 3 , 3 , 3 , 29 are odd numbers. So, the sum of odd prime factors of 783 is 3 + 3 + 3 + 29 = 38.