Prime Factorization of 1200000

What is the Prime Factorization of 1200000?

Answer: Prime Factors of 1200000: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5

or

27 × 3 × 55

Explanation of number 1200000 Prime Factorization

Prime Factorization of 1200000 it is expressing 1200000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1200000.

Since number 1200000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1200000, we have to iteratively divide 1200000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1200000:

The smallest Prime Number which can divide 1200000 without a remainder is 2. So the first calculation step would look like:

1200000 ÷ 2 = 600000

Now we repeat this action until the result equals 1:

600000 ÷ 2 = 300000

300000 ÷ 2 = 150000

150000 ÷ 2 = 75000

75000 ÷ 2 = 37500

37500 ÷ 2 = 18750

18750 ÷ 2 = 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 1200000. It is: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5

Or you may also write it in exponential form: 27 × 3 × 55

Prime Factorization Table

NumberPrime Factors
11999853, 5, 79999
11999862, 599993
119998789, 97, 139
119998822 × 33 × 41 × 271
11999897, 171427
11999902, 5, 11, 10909
11999913, 13, 29, 1061
119999223 × 61 × 2459
11999931199993
11999942, 3, 199999
11999955, 239999
119999622 × 7 × 17 × 2521
119999732 × 151 × 883
11999982, 599999
11999991199999
120000027 × 3 × 55
120000111 × 432 × 59
12000022, 19, 23, 1373
12000033, 7, 57143
120000422 × 13 × 47 × 491
12000055, 107, 2243
12000062 × 32 × 163 × 409
12000071200007
120000823 × 150001
12000093, 269, 1487
12000102 × 5 × 72 × 31 × 79
1200011719, 1669
120001222 × 3 × 11 × 9091
120001317, 70589
12000142, 83, 7229

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 1200000? (The answer is: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5). Pick the number for factorization (e.g. '1200000'). 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 1200000?

Prime Factors of 1200000: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5, 5

How many prime factors does 1200000 have?

Number 1200000 has 13 Prime Factors

What is the Prime Factorization of 1200000 in exponential form?

The Prime Factorization of the number 1200000 in the exponential form is: 27 × 3 × 55