Prime Factorization of 720000

What is the Prime Factorization of 720000?

Answer: Prime Factors of 720000: 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5

or

27 × 32 × 54

Explanation of number 720000 Prime Factorization

Prime Factorization of 720000 it is expressing 720000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 720000.

Since number 720000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 720000, we have to iteratively divide 720000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 720000:

The smallest Prime Number which can divide 720000 without a remainder is 2. So the first calculation step would look like:

720000 ÷ 2 = 360000

Now we repeat this action until the result equals 1:

360000 ÷ 2 = 180000

180000 ÷ 2 = 90000

90000 ÷ 2 = 45000

45000 ÷ 2 = 22500

22500 ÷ 2 = 11250

11250 ÷ 2 = 5625

5625 ÷ 3 = 1875

1875 ÷ 3 = 625

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 720000. It is: 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5

Or you may also write it in exponential form: 27 × 32 × 54

Related Calculations

Prime Factorization Table

NumberPrime Factors
7199853, 5, 7, 6857
7199862, 19, 18947
719987349, 2063
71998822 × 3 × 59999
719989719989
7199902, 5, 71999
71999132 × 79999
71999223 × 7 × 13 × 23 × 43
71999347, 15319
7199942, 3, 11, 10909
7199955, 143999
71999622 × 179999
7199973, 239999
7199982, 599, 601
7199997, 73, 1409
72000027 × 32 × 54
72000117, 41, 1033
7200022, 157, 2293
7200033, 107, 2243
72000422 × 180001
7200055, 11, 13, 19, 53
7200062 × 3 × 72 × 31 × 79
720007720007
72000823 × 90001
72000935 × 2963
7200102, 5, 89, 809
72001171, 10141
72001222 × 3 × 29 × 2069
7200137, 102859
7200142, 360007

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 720000? (The answer is: 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5). Pick the number for factorization (e.g. '720000'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 720000?

Prime Factors of 720000: 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5

How many prime factors does 720000 have?

Number 720000 has 13 Prime Factors

What is the Prime Factorization of 720000 in exponential form?

The Prime Factorization of the number 720000 in the exponential form is: 27 × 32 × 54