Prime Factorization of 1200

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Prime Factors of

What is the Prime Factorization of 1200?

Answer: Prime Factors of 1200: 2, 2, 2, 2, 3, 5, 5

or

24 × 3 × 52

Explanation of number 1200 Prime Factorization

Prime Factorization of 1200 it is expressing 1200 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1200.

Since number 1200 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1200, we have to iteratively divide 1200 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1200:

The smallest Prime Number which can divide 1200 without a remainder is 2. So the first calculation step would look like:

1200 ÷ 2 = 600

Now we repeat this action until the result equals 1:

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 1200. It is: 2, 2, 2, 2, 3, 5, 5

Or you may also write it in exponential form: 24 × 3 × 52

Prime Factor Tree of 1200

We may also express the prime factorization of 1200 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 1200? (The answer is: 2, 2, 2, 2, 3, 5, 5). Pick the number for factorization (e.g. '1200'). 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
11853, 5, 79
11862, 593
11871187
118822 × 33 × 11
118929, 41
11902, 5, 7, 17
11913, 397
119223 × 149
11931193
11942, 3, 199
11955, 239
119622 × 13 × 23
119732 × 7 × 19
11982, 599
119911, 109
120024 × 3 × 52
12011201
12022, 601
12033, 401
120422 × 7 × 43
12055, 241
12062 × 32 × 67
120717, 71
120823 × 151
12093, 13, 31
12102 × 5 × 112
12117, 173
121222 × 3 × 101
12131213
12142, 607

FAQ

What is the Prime Factorization of 1200?

Prime Factors of 1200: 2, 2, 2, 2, 3, 5, 5

How many prime factors does 1200 have?

Number 1200 has 7 Prime Factors

What is the Prime Factorization of 1200 in exponential form?

The Prime Factorization of the number 1200 in the exponential form is: 24 × 3 × 52

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