Steps to find Prime Factors of 383 by Division Method

To find the primefactors of 383 using the division method, follow these steps:

  • Step 1. Start dividing 383 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 383, which is 383. Divide 383 by 383 to obtain the quotient (1).
    383 ÷ 383 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 383 is, 383 = 383.

Steps to find Prime Factors of 383 by Factor Tree Method

We can follow the same procedure using the factor tree of 383 as shown below:

So, the prime factorization of 383 is, 383 = 383.

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 383 are 383.

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 383 but not a prime factor of 383.

Frequently Asked Questions

  • Which is the smallest prime factor of 383?

    Smallest prime factor of 383 is 383.

  • What are the factors of 383?

    Factors of 383 are 1 , 383.

  • What is prime factorization of 383 in exponential form?

    Prime factorization of 383 in exponential form is 383.

  • Is 383 a prime number or a composite number?

    383 is a prime number.

  • Is 383 a prime number?

    true, 383 is a prime number.

  • What is the sum of all prime factors of 383?

    Prime factors of 383 are 383. Therefore, their sum is 383.

  • What is the product of all prime factors of 383?

    Prime factors of 383 are 383. Therefore, their product is 383.

  • What numbers are the prime factors of 383?

    Prime factors of 383 are 383.

  • What is the sum of all odd prime factors of 383?

    Prime factors of 383 are 383, out of which 383 are odd numbers. So, the sum of odd prime factors of 383 is 383 = 383.