Prime Factors of 47089

Steps to find Prime Factors of 47089 by Division Method

To find the primefactors of 47089 using the division method, follow these steps:

• Step 1. Start dividing 47089 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 47089, which is 7. Divide 47089 by 7 to obtain the quotient (6727).
  47089 ÷ 7 = 6727
• Step 3. Repeat step 1 with the obtained quotient (6727).
  6727 ÷ 7 = 961
  961 ÷ 31 = 31
  31 ÷ 31 = 1

So, the prime factorization of 47089 is, 47089 = 7 x 7 x 31 x 31.

Steps to find Prime Factors of 47089 by Factor Tree Method

We can follow the same procedure using the factor tree of 47089 as shown below:

So, the prime factorization of 47089 is, 47089 = 7 x 7 x 31 x 31.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 47089 are 7 x 7 x 31 x 31.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 47089 but not a prime factor of 47089.

Frequently Asked Questions

• Which is the smallest prime factor of 47089?

  Smallest prime factor of 47089 is 7.

• What is the prime factorization of 47089?

  Prime factorization of 47089 is 7 x 7 x 31 x 31.

• What is prime factorization of 47089 in exponential form?

  Prime factorization of 47089 in exponential form is 7² x 31².

• Is 47089 a prime number or a composite number?

  47089 is a composite number.

• Is 47089 a prime number?

  false, 47089 is not a prime number.

• How to find prime factorization of 47089 easily?

  To find prime factorization of 47089 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 47089?

  The largest prime factor of 47089 is 31.

• What is the product of all prime factors of 47089?

  Prime factors of 47089 are 7 x 7 x 31 x 31. Therefore, their product is 47089.

• What is the sum of all odd prime factors of 47089?

  Prime factors of 47089 are 7 , 7 , 31 , 31, out of which 7 , 7 , 31 , 31 are odd numbers. So, the sum of odd prime factors of 47089 is 7 + 7 + 31 + 31 = 76.