Prime Factorization of 168

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 168?

Answer: Prime Factors of 168: 2, 2, 2, 3, 7

or

23 × 3 × 7

Explanation of number 168 Prime Factorization

Prime Factorization of 168 it is expressing 168 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 168.

Since number 168 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 168, we have to iteratively divide 168 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 168:

The smallest Prime Number which can divide 168 without a remainder is 2. So the first calculation step would look like:

168 ÷ 2 = 84

Now we repeat this action until the result equals 1:

84 ÷ 2 = 42

42 ÷ 2 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 168. It is: 2, 2, 2, 3, 7

Or you may also write it in exponential form: 23 × 3 × 7

Prime Factor Tree of 168

We may also express the prime factorization of 168 as a Factor Tree:

Related Calculations

See Also

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 168? (The answer is: 2, 2, 2, 3, 7). Pick the number for factorization (e.g. '168'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
15332 × 17
1542, 7, 11
1555, 31
15622 × 3 × 13
157157
1582, 79
1593, 53
16025 × 5
1617, 23
1622 × 34
163163
16422 × 41
1653, 5, 11
1662, 83
167167
16823 × 3 × 7
169132
1702, 5, 17
17132 × 19
17222 × 43
173173
1742, 3, 29
17552 × 7
17624 × 11
1773, 59
1782, 89
179179
18022 × 32 × 5
181181
1822, 7, 13

FAQ

What is the Prime Factorization of 168?

Prime Factors of 168: 2, 2, 2, 3, 7

How many prime factors does 168 have?

Number 168 has 5 Prime Factors

What is the Prime Factorization of 168 in exponential form?

The Prime Factorization of the number 168 in the exponential form is: 23 × 3 × 7

See Also