Steps to find Prime Factors of 1543 by Division Method

To find the primefactors of 1543 using the division method, follow these steps:

  • Step 1. Start dividing 1543 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 1543, which is 1543. Divide 1543 by 1543 to obtain the quotient (1).
    1543 ÷ 1543 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1543 is, 1543 = 1543.

Steps to find Prime Factors of 1543 by Factor Tree Method

We can follow the same procedure using the factor tree of 1543 as shown below:

So, the prime factorization of 1543 is, 1543 = 1543.

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 1543 are 1543.

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 1543 but not a prime factor of 1543.

Frequently Asked Questions

  • Which is the smallest prime factor of 1543?

    Smallest prime factor of 1543 is 1543.

  • What are the factors of 1543?

    Factors of 1543 are 1 , 1543.

  • What is prime factorization of 1543 in exponential form?

    Prime factorization of 1543 in exponential form is 1543.

  • Is 1543 a prime number or a composite number?

    1543 is a prime number.

  • Is 1543 a prime number?

    true, 1543 is a prime number.

  • What is the sum of all prime factors of 1543?

    Prime factors of 1543 are 1543. Therefore, their sum is 1543.

  • What is the product of all prime factors of 1543?

    Prime factors of 1543 are 1543. Therefore, their product is 1543.

  • What numbers are the prime factors of 1543?

    Prime factors of 1543 are 1543.

  • What is the sum of all odd prime factors of 1543?

    Prime factors of 1543 are 1543, out of which 1543 are odd numbers. So, the sum of odd prime factors of 1543 is 1543 = 1543.