Prime Factorization of 288

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Prime Factors of

What is the Prime Factorization of 288?

Answer: Prime Factors of 288: 2, 2, 2, 2, 2, 3, 3

or

25 × 32

Explanation of number 288 Prime Factorization

Prime Factorization of 288 it is expressing 288 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 288.

Since number 288 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 288, we have to iteratively divide 288 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 288:

The smallest Prime Number which can divide 288 without a remainder is 2. So the first calculation step would look like:

288 ÷ 2 = 144

Now we repeat this action until the result equals 1:

144 ÷ 2 = 72

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 288. It is: 2, 2, 2, 2, 2, 3, 3

Or you may also write it in exponential form: 25 × 32

Prime Factor Tree of 288

We may also express the prime factorization of 288 as a Factor Tree:

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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 288? (The answer is: 2, 2, 2, 2, 2, 3, 3). Pick the number for factorization (e.g. '288'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
2733, 7, 13
2742, 137
27552 × 11
27622 × 3 × 23
277277
2782, 139
27932 × 31
28023 × 5 × 7
281281
2822, 3, 47
283283
28422 × 71
2853, 5, 19
2862, 11, 13
2877, 41
28825 × 32
289172
2902, 5, 29
2913, 97
29222 × 73
293293
2942 × 3 × 72
2955, 59
29623 × 37
29733 × 11
2982, 149
29913, 23
30022 × 3 × 52
3017, 43
3022, 151

FAQ

What is the Prime Factorization of 288?

Prime Factors of 288: 2, 2, 2, 2, 2, 3, 3

How many prime factors does 288 have?

Number 288 has 7 Prime Factors

What is the Prime Factorization of 288 in exponential form?

The Prime Factorization of the number 288 in the exponential form is: 25 × 32

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