# Prime Factors of 42

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Find the prime factors of 42 easily by utilising our free Prime Factors Calculator. The prime factors of 42 are the list of prime numbers when multiplied giving the product as . Two simple methods to find prime factors are trial division and prime decomposition. Go through this page to know how to find prime factors(42).

Factors of: ### Prime Decomposition of 42 | Factor Tree of 42

The Prime Factors of 25 are all the prime numbers used to divide in the Prime Factor Tree. You can have a look below to have a better understanding of this :

 42 2 21 3 7

Refer to Factor Tree of 42 to know more details like how to draw the factor tree for the number.

### Trial Division of 42

The easiest method to find the prime factors of a number is trial division. In this method, we have to try division of the given composite prime number 42 by the prime number, and check the number that is dividing equally and how many times.
Here,

42 ÷ 21 = 2

21 ÷ 7 = 3

7 ÷ 1 = 7

So here he prime factorisation of 42 = 2 x 3 x 7 = 21 x 31 x 71

### Prime Factorization Calculations

Here are examples of Prime Factorization calculations.

### How to find the Prime Factors of 42 ?

Given number is 42

The prime factors of 42 can be found via trial division or prime decomposition or factor tree method.

Prime Factorization of 42 refers to the process of determining the Prime Factors of 42. To find the Prime Factors of 42, divide 42 by the smallest prime number. Then, take the result and divide it by the smallest prime number. Repeat this process until you have 1.

The prime factors of 42 are 2 x 3 x 7.

### FAQs on Finding the Prime Factors for 42

1. What are the Prime Factors of 42 ?

Answer: Prime Factors of 42 are 2 x 3 x 7

2. How many prime factors does 42 have ?

Answer: 42 have 3 prime factors.

3. What is the least prime factor of 42 ?

Answer: The least prime factor of 42 is 2.