Prime Factorization of 160

What is the Prime Factorization of 160?

Answer: Prime Factors of 160: 2, 2, 2, 2, 2, 5

or

25 × 5

Explanation of number 160 Prime Factorization

Prime Factorization of 160 it is expressing 160 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 160.

Since number 160 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 160, we have to iteratively divide 160 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 160:

The smallest Prime Number which can divide 160 without a remainder is 2. So the first calculation step would look like:

160 ÷ 2 = 80

Now we repeat this action until the result equals 1:

80 ÷ 2 = 40

40 ÷ 2 = 20

20 ÷ 2 = 10

10 ÷ 2 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 160. It is: 2, 2, 2, 2, 2, 5

Or you may also write it in exponential form: 25 × 5

Prime Factor Tree of 160

We may also express the prime factorization of 160 as a Factor Tree:

Prime factors of 160 factorization tree of 160

Prime Factorization Table

NumberPrime Factors
5, 29
2, 73
3 × 72
22 × 37
149
2 × 3 × 52
151
23 × 19
32 × 17
2, 7, 11
5, 31
22 × 3 × 13
157
2, 79
3, 53
25 × 5
7, 23
2 × 34
163
22 × 41
3, 5, 11
2, 83
167
23 × 3 × 7
132
2, 5, 17
32 × 19
22 × 43
173
2, 3, 29

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 160? (The answer is: 2, 2, 2, 2, 2, 5). Pick the number for factorization (e.g. '160'). 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 160?

Prime Factors of 160: 2, 2, 2, 2, 2, 5

How many prime factors does 160 have?

Number 160 has 6 Prime Factors

What is the Prime Factorization of 160 in exponential form?

The Prime Factorization of the number 160 in the exponential form is: 25 × 5