Prime Factorization of 9600

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Prime Factors of

What is the Prime Factorization of 9600?

Answer: Prime Factors of 9600: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5

or

27 × 3 × 52

Explanation of number 9600 Prime Factorization

Prime Factorization of 9600 it is expressing 9600 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9600.

Since number 9600 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 9600, we have to iteratively divide 9600 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 9600:

The smallest Prime Number which can divide 9600 without a remainder is 2. So the first calculation step would look like:

9600 ÷ 2 = 4800

Now we repeat this action until the result equals 1:

4800 ÷ 2 = 2400

2400 ÷ 2 = 1200

1200 ÷ 2 = 600

600 ÷ 2 = 300

300 ÷ 2 = 150

150 ÷ 2 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 9600. It is: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5

Or you may also write it in exponential form: 27 × 3 × 52

Prime Factor Tree of 9600

We may also express the prime factorization of 9600 as a Factor Tree:

Prime factors of 9600 factorization tree of 9600

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Prime Factorization Table

NumberPrime Factors
958533 × 5 × 71
95862, 4793
95879587
958822 × 3 × 17 × 47
958943, 223
95902, 5, 7, 137
95913, 23, 139
959223 × 11 × 109
959353, 181
95942 × 32 × 13 × 41
95955, 19, 101
959622 × 2399
95973, 7, 457
95982, 4799
959929, 331
960027 × 3 × 52
96019601
96022, 4801
960332 × 11 × 97
960422 × 74
96055, 17, 113
96062, 3, 1601
960713, 739
960823 × 1201
96093, 3203
96102 × 5 × 312
96117, 1373
961222 × 33 × 89
96139613
96142, 11, 19, 23

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 9600? (The answer is: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5). Pick the number for factorization (e.g. '9600'). 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 9600?

Prime Factors of 9600: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5

How many prime factors does 9600 have?

Number 9600 has 10 Prime Factors

What is the Prime Factorization of 9600 in exponential form?

The Prime Factorization of the number 9600 in the exponential form is: 27 × 3 × 52

See Also