Prime Factorization of 320

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 320?

Answer: Prime Factors of 320: 2, 2, 2, 2, 2, 2, 5

or

26 × 5

Explanation of number 320 Prime Factorization

Prime Factorization of 320 it is expressing 320 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 320.

Since number 320 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 320, we have to iteratively divide 320 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 320:

The smallest Prime Number which can divide 320 without a remainder is 2. So the first calculation step would look like:

320 ÷ 2 = 160

Now we repeat this action until the result equals 1:

160 ÷ 2 = 80

80 ÷ 2 = 40

40 ÷ 2 = 20

20 ÷ 2 = 10

10 ÷ 2 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 320. It is: 2, 2, 2, 2, 2, 2, 5

Or you may also write it in exponential form: 26 × 5

Prime Factor Tree of 320

We may also express the prime factorization of 320 as a Factor Tree:

Prime factors of 320 factorization tree of 320

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Prime Factorization Table

NumberPrime Factors
3055, 61
3062 × 32 × 17
307307
30822 × 7 × 11
3093, 103
3102, 5, 31
311311
31223 × 3 × 13
313313
3142, 157
31532 × 5 × 7
31622 × 79
317317
3182, 3, 53
31911, 29
32026 × 5
3213, 107
3222, 7, 23
32317, 19
32422 × 34
32552 × 13
3262, 163
3273, 109
32823 × 41
3297, 47
3302, 3, 5, 11
331331
33222 × 83
33332 × 37
3342, 167

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 320? (The answer is: 2, 2, 2, 2, 2, 2, 5). Pick the number for factorization (e.g. '320'). 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

FAQ

What is the Prime Factorization of 320?

Prime Factors of 320: 2, 2, 2, 2, 2, 2, 5

How many prime factors does 320 have?

Number 320 has 7 Prime Factors

What is the Prime Factorization of 320 in exponential form?

The Prime Factorization of the number 320 in the exponential form is: 26 × 5

See Also