Prime Factorization of 84

What is the Prime Factorization of 84?

Answer: Prime Factors of 84: 2, 2, 3, 7

or

22 × 3 × 7

Explanation of number 84 Prime Factorization

Prime Factorization of 84 it is expressing 84 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 84.

Since number 84 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 84, we have to iteratively divide 84 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 84:

The smallest Prime Number which can divide 84 without a remainder is 2. So the first calculation step would look like:

84 ÷ 2 = 42

Now we repeat this action until the result equals 1:

42 ÷ 2 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 84. It is: 2, 2, 3, 7

Or you may also write it in exponential form: 22 × 3 × 7

Prime Factor Tree of 84

We may also express the prime factorization of 84 as a Factor Tree:

Prime factors of 84 factorization tree of 84

Prime Factorization Table

NumberPrime Factors
3, 23
2, 5, 7
71
23 × 32
73
2, 37
3 × 52
22 × 19
7, 11
2, 3, 13
79
24 × 5
34
2, 41
83
22 × 3 × 7
5, 17
2, 43
3, 29
23 × 11
89
2 × 32 × 5
7, 13
22 × 23
3, 31
2, 47
5, 19
25 × 3
97
2 × 72

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 84? (The answer is: 2, 2, 3, 7). Pick the number for factorization (e.g. '84'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 84?

Prime Factors of 84: 2, 2, 3, 7

How many prime factors does 84 have?

Number 84 has 4 Prime Factors

What is the Prime Factorization of 84 in exponential form?

The Prime Factorization of the number 84 in the exponential form is: 22 × 3 × 7