Prime Factorization of 7200

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Prime Factors of

What is the Prime Factorization of 7200?

Answer: Prime Factors of 7200: 2, 2, 2, 2, 2, 3, 3, 5, 5

or

25 × 32 × 52

Explanation of number 7200 Prime Factorization

Prime Factorization of 7200 it is expressing 7200 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 7200.

Since number 7200 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 7200, we have to iteratively divide 7200 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 7200:

The smallest Prime Number which can divide 7200 without a remainder is 2. So the first calculation step would look like:

7200 ÷ 2 = 3600

Now we repeat this action until the result equals 1:

3600 ÷ 2 = 1800

1800 ÷ 2 = 900

900 ÷ 2 = 450

450 ÷ 2 = 225

225 ÷ 3 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 7200. It is: 2, 2, 2, 2, 2, 3, 3, 5, 5

Or you may also write it in exponential form: 25 × 32 × 52

Prime Factor Tree of 7200

We may also express the prime factorization of 7200 as a Factor Tree:

Prime factors of 7200 factorization tree of 7200

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Prime Factorization Table

NumberPrime Factors
71853, 5, 479
71862, 3593
71877187
718822 × 3 × 599
71897, 13, 79
71902, 5, 719
719132 × 17 × 47
719223 × 29 × 31
71937193
71942, 3, 11, 109
71955, 1439
719622 × 7 × 257
71973, 2399
71982, 59, 61
719923, 313
720025 × 32 × 52
720119, 379
72022, 13, 277
72033 × 74
720422 × 1801
72055, 11, 131
72062, 3, 1201
72077207
720823 × 17 × 53
720934 × 89
72102, 5, 7, 103
72117211
721222 × 3 × 601
72137213
72142, 3607

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 7200? (The answer is: 2, 2, 2, 2, 2, 3, 3, 5, 5). Pick the number for factorization (e.g. '7200'). 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 7200?

Prime Factors of 7200: 2, 2, 2, 2, 2, 3, 3, 5, 5

How many prime factors does 7200 have?

Number 7200 has 9 Prime Factors

What is the Prime Factorization of 7200 in exponential form?

The Prime Factorization of the number 7200 in the exponential form is: 25 × 32 × 52

See Also