Steps to find Prime Factors of 103 by Division Method

To find the primefactors of 103 using the division method, follow these steps:

  • Step 1. Start dividing 103 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 103, which is 103. Divide 103 by 103 to obtain the quotient (1).
    103 ÷ 103 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 103 is, 103 = 103.

Steps to find Prime Factors of 103 by Factor Tree Method

We can follow the same procedure using the factor tree of 103 as shown below:

So, the prime factorization of 103 is, 103 = 103.

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 103 are 103.

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 103 but not a prime factor of 103.

Frequently Asked Questions

  • Which is the smallest prime factor of 103?

    Smallest prime factor of 103 is 103.

  • What are the factors of 103?

    Factors of 103 are 1 , 103.

  • What is prime factorization of 103 in exponential form?

    Prime factorization of 103 in exponential form is 103.

  • Is 103 a prime number or a composite number?

    103 is a prime number.

  • Is 103 a prime number?

    true, 103 is a prime number.

  • What is the sum of all prime factors of 103?

    Prime factors of 103 are 103. Therefore, their sum is 103.

  • What is the product of all prime factors of 103?

    Prime factors of 103 are 103. Therefore, their product is 103.

  • What numbers are the prime factors of 103?

    Prime factors of 103 are 103.

  • What is the sum of all odd prime factors of 103?

    Prime factors of 103 are 103, out of which 103 are odd numbers. So, the sum of odd prime factors of 103 is 103 = 103.