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Prime Factors of 84

Find the prime factors of 84 easily by utilising our free Prime Factors Calculator. The prime factors of 84 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(84).

Factors of:

How to find the Prime Factors of 84 ?

Given number is 84

The prime factors of 84 can be found via trial division or prime decomposition or factor tree method.

Prime Factorization of 84 refers to the process of determining the Prime Factors of 84. To find the Prime Factors of 84, divide 84 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 84 are 2 x 2 x 3 x 7.

Prime Decomposition of 84

Another popular method to find prime factorisation is known as prime decomposition and it includes the use of a factor tree. The factor tree diagram is an easy process to divide a number into its prime factors. To create a factor tree we have to break down the composite number into factors of the composite number till the numbers are prime.

There might be various methods to show the factor tree for any provided prime factorisation.


84
242
221
37
Factors of 84

Explore more about Factor Tree of 84 by accessing this link and make your calculations quick & fast by using our handy Factor Tree Calculator.

Trial Division of 84

One of the methods to check the Prime Factor of a number is trial division. Trial division consists of very easy and basic algorithms, though it is an extremely slow process. In this method, we have to check each number by dividing the composite number in question by the integer and deciding if, and how many times, the number can divide the number equally.

To get the prime factorisation of 84, we have to start with dividing it by primes

84 ÷ 42 = 2

42 ÷ 21 = 2

21 ÷ 7 = 3

7 ÷ 1 = 7

So here he prime factorisation of 84 = 2 x 2 x 3 x 7 = 22 x 31 x 71

We can check it in a prime factorisation calculator also. The algorithm used in the calculator and trial division may differ but the result is always the same.

Prime Factorization Calculations

FAQs on Finding the Prime Factors for 84

1. What are the Prime Factors of 84 ?

Answer: Prime Factors of 84 are 2 x 2 x 3 x 7

2. How many prime factors does 84 have ?

Answer: 84 have 3 prime factors.

3. What is the least prime factor of 84 ?

Answer: The least prime factor of 84 is 2.