Prime Factorization of 960

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 960?

Answer: Prime Factors of 960: 2, 2, 2, 2, 2, 2, 3, 5

or

26 × 3 × 5

Explanation of number 960 Prime Factorization

Prime Factorization of 960 it is expressing 960 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 960.

Since number 960 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 960, we have to iteratively divide 960 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 960:

The smallest Prime Number which can divide 960 without a remainder is 2. So the first calculation step would look like:

960 ÷ 2 = 480

Now we repeat this action until the result equals 1:

480 ÷ 2 = 240

240 ÷ 2 = 120

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 960. It is: 2, 2, 2, 2, 2, 2, 3, 5

Or you may also write it in exponential form: 26 × 3 × 5

Prime Factor Tree of 960

We may also express the prime factorization of 960 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 960? (The answer is: 2, 2, 2, 2, 2, 2, 3, 5). Pick the number for factorization (e.g. '960'). 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
94533 × 5 × 7
9462, 11, 43
947947
94822 × 3 × 79
94913, 73
9502 × 52 × 19
9513, 317
95223 × 7 × 17
953953
9542 × 32 × 53
9555, 191
95622 × 239
9573, 11, 29
9582, 479
9597, 137
96026 × 3 × 5
961312
9622, 13, 37
96332 × 107
96422 × 241
9655, 193
9662, 3, 7, 23
967967
96823 × 112
9693, 17, 19
9702, 5, 97
971971
97222 × 35
9737, 139
9742, 487

FAQ

What is the Prime Factorization of 960?

Prime Factors of 960: 2, 2, 2, 2, 2, 2, 3, 5

How many prime factors does 960 have?

Number 960 has 8 Prime Factors

What is the Prime Factorization of 960 in exponential form?

The Prime Factorization of the number 960 in the exponential form is: 26 × 3 × 5

See Also