Prime Factorization of 7200000

What is the Prime Factorization of 7200000?

Answer: Prime Factors of 7200000: 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5

or

28 × 32 × 55

Explanation of number 7200000 Prime Factorization

Prime Factorization of 7200000 it is expressing 7200000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 7200000.

Since number 7200000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 7200000, we have to iteratively divide 7200000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 7200000:

The smallest Prime Number which can divide 7200000 without a remainder is 2. So the first calculation step would look like:

7200000 ÷ 2 = 3600000

Now we repeat this action until the result equals 1:

3600000 ÷ 2 = 1800000

1800000 ÷ 2 = 900000

900000 ÷ 2 = 450000

450000 ÷ 2 = 225000

225000 ÷ 2 = 112500

112500 ÷ 2 = 56250

56250 ÷ 2 = 28125

28125 ÷ 3 = 9375

9375 ÷ 3 = 3125

3125 ÷ 5 = 625

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 7200000. It is: 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5

Or you may also write it in exponential form: 28 × 32 × 55

Related Calculations

Prime Factorization Table

NumberPrime Factors
71999853, 5, 13, 36923
71999862, 227, 15859
7199987101, 71287
719998822 × 3 × 599999
719998923, 229, 1367
71999902, 5, 7, 73, 1409
719999132 × 799999
719999223 × 397 × 2267
719999317, 19, 22291
71999942, 3, 1199999
71999955, 11, 109, 1201
719999622 × 1799999
71999973, 7, 53, 6469
71999982, 13, 31, 8933
7199999181, 39779
720000028 × 32 × 55
720000183, 223, 389
72000022, 3600001
72000033, 2400001
720000422 × 7 × 29 × 8867
72000055, 337, 4273
72000062 × 3 × 11 × 432 × 59
72000077200007
720000823 × 900001
720000934 × 103 × 863
72000102, 5, 17, 41, 1033
720001172 × 13 × 89 × 127
720001222 × 3 × 19 × 23 × 1373
720001361, 118033
72000142, 3600007

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 7200000? (The answer is: 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5). Pick the number for factorization (e.g. '7200000'). 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 7200000?

Prime Factors of 7200000: 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5

How many prime factors does 7200000 have?

Number 7200000 has 15 Prime Factors

What is the Prime Factorization of 7200000 in exponential form?

The Prime Factorization of the number 7200000 in the exponential form is: 28 × 32 × 55