Prime Factors of 47

Steps to find Prime Factors of 47 by Division Method

To find the primefactors of 47 using the division method, follow these steps:

• Step 1. Start dividing 47 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 47, which is 47. Divide 47 by 47 to obtain the quotient (1).
  47 ÷ 47 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 47 is, 47 = 47.

Steps to find Prime Factors of 47 by Factor Tree Method

We can follow the same procedure using the factor tree of 47 as shown below:

So, the prime factorization of 47 is, 47 = 47.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 47 are 47.

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 47 but not a prime factor of 47.

Frequently Asked Questions

• Which is the smallest prime factor of 47?

  Smallest prime factor of 47 is 47.

• What are the factors of 47?

  Factors of 47 are 1 , 47.

• What is prime factorization of 47 in exponential form?

  Prime factorization of 47 in exponential form is 47.

• Is 47 a prime number or a composite number?

  47 is a prime number.

• Is 47 a prime number?

  true, 47 is a prime number.

• What is the sum of all prime factors of 47?

  Prime factors of 47 are 47. Therefore, their sum is 47.

• What is the product of all prime factors of 47?

  Prime factors of 47 are 47. Therefore, their product is 47.

• What numbers are the prime factors of 47?

  Prime factors of 47 are 47.

• What is the sum of all odd prime factors of 47?

  Prime factors of 47 are 47, out of which 47 are odd numbers. So, the sum of odd prime factors of 47 is 47 = 47.