Prime Factors of 2047

Steps to find Prime Factors of 2047 by Division Method

To find the primefactors of 2047 using the division method, follow these steps:

• Step 1. Start dividing 2047 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 2047, which is 23. Divide 2047 by 23 to obtain the quotient (89).
  2047 ÷ 23 = 89
• Step 3. Repeat step 1 with the obtained quotient (89).
  89 ÷ 89 = 1

So, the prime factorization of 2047 is, 2047 = 23 x 89.

Steps to find Prime Factors of 2047 by Factor Tree Method

We can follow the same procedure using the factor tree of 2047 as shown below:

So, the prime factorization of 2047 is, 2047 = 23 x 89.

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 2047 are 23 x 89.

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 2047 but not a prime factor of 2047.

Frequently Asked Questions

• Which is the smallest prime factor of 2047?

  Smallest prime factor of 2047 is 23.

• What are the factors of 2047?

  Factors of 2047 are 1 , 23 , 89 , 2047.

• What is prime factorization of 2047 in exponential form?

  Prime factorization of 2047 in exponential form is 23 x 89.

• Is 2047 a prime number or a composite number?

  2047 is a composite number.

• Is 2047 a prime number?

  false, 2047 is not a prime number.

• What is the sum of all prime factors of 2047?

  Prime factors of 2047 are 23 x 89. Therefore, their sum is 112.

• What is the product of all prime factors of 2047?

  Prime factors of 2047 are 23 x 89. Therefore, their product is 2047.

• What numbers are the prime factors of 2047?

  Prime factors of 2047 are 23 , 89.

• What is the sum of all odd prime factors of 2047?

  Prime factors of 2047 are 23 , 89, out of which 23 , 89 are odd numbers. So, the sum of odd prime factors of 2047 is 23 + 89 = 112.