Steps to find Prime Factors of 43 by Division Method

To find the primefactors of 43 using the division method, follow these steps:

  • Step 1. Start dividing 43 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 43, which is 43. Divide 43 by 43 to obtain the quotient (1).
    43 ÷ 43 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 43 is, 43 = 43.

Steps to find Prime Factors of 43 by Factor Tree Method

We can follow the same procedure using the factor tree of 43 as shown below:

So, the prime factorization of 43 is, 43 = 43.

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 43 are 43.

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 43 but not a prime factor of 43.

Frequently Asked Questions

  • Which is the smallest prime factor of 43?

    Smallest prime factor of 43 is 43.

  • Is 43 a perfect square?

    No 43 is not a perfect square.

  • What is the prime factorization of 43?

    Prime factorization of 43 is 43.

  • What is prime factorization of 43 in exponential form?

    Prime factorization of 43 in exponential form is 43.

  • Is 43 a prime number?

    true, 43 is a prime number.

  • Which is the largest prime factors of 43?

    The largest prime factor of 43 is 43.

  • What is the product of all prime factors of 43?

    Prime factors of 43 are 43. Therefore, their product is 43.

  • What is the sum of all odd prime factors of 43?

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

  • What is the product of all odd prime factors of 43?

    Prime factors of 43 are 43, out of which 43 are odd numbers. So, the product of odd prime factors of 43 is 43 = 43.