# Prime Factors of 25842

Prime Factors of 25842 are 2, 3, 59, and 73

#### How to find prime factors of a number

 1.   Prime Factorization of 25842 by Division Method 2.   Prime Factorization of 25842 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 25842 by Division Method

To find the primefactors of 25842 using the division method, follow these steps:

• Step 1. Start dividing 25842 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 25842, which is 2. Divide 25842 by 2 to obtain the quotient (12921).
25842 ÷ 2 = 12921
• Step 3. Repeat step 1 with the obtained quotient (12921).
12921 ÷ 3 = 4307
4307 ÷ 59 = 73
73 ÷ 73 = 1

So, the prime factorization of 25842 is, 25842 = 2 x 3 x 59 x 73.

#### Steps to find Prime Factors of 25842 by Factor Tree Method

We can follow the same procedure using the factor tree of 25842 as shown below:

So, the prime factorization of 25842 is, 25842 = 2 x 3 x 59 x 73.

#### 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 25842 are 2 x 3 x 59 x 73.

#### Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 25842 but not a prime factor of 25842.

• Is 25842 a prime number?

false, 25842 is not a prime number.

• How to find prime factorization of 25842 easily?

To find prime factorization of 25842 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 25842?

The largest prime factor of 25842 is 73.

• What is the sum of all prime factors of 25842?

Prime factors of 25842 are 2 x 3 x 59 x 73. Therefore, their sum is 137.

• What is the product of all prime factors of 25842?

Prime factors of 25842 are 2 x 3 x 59 x 73. Therefore, their product is 25842.

• What numbers are the prime factors of 25842?

Prime factors of 25842 are 2 , 3 , 59 , 73.

• What is the sum of all odd prime factors of 25842?

Prime factors of 25842 are 2 , 3 , 59 , 73, out of which 3 , 59 , 73 are odd numbers. So, the sum of odd prime factors of 25842 is 3 + 59 + 73 = 135.

• Is there any even prime factor of 25842?

Yes there is a even prime factor of 25842.

• What is the product of all odd prime factors of 25842?

Prime factors of 25842 are 2 , 3 , 59 , 73, out of which 3 , 59 , 73 are odd numbers. So, the product of odd prime factors of 25842 is 3 x 59 x 73 = 12921.