Prime Factorization of 1300000

What is the Prime Factorization of 1300000?

Answer: Prime Factors of 1300000: 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 13

or

25 × 55 × 13

Explanation of number 1300000 Prime Factorization

Prime Factorization of 1300000 it is expressing 1300000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1300000.

Since number 1300000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1300000, we have to iteratively divide 1300000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1300000:

The smallest Prime Number which can divide 1300000 without a remainder is 2. So the first calculation step would look like:

1300000 ÷ 2 = 650000

Now we repeat this action until the result equals 1:

650000 ÷ 2 = 325000

325000 ÷ 2 = 162500

162500 ÷ 2 = 81250

81250 ÷ 2 = 40625

40625 ÷ 5 = 8125

8125 ÷ 5 = 1625

1625 ÷ 5 = 325

325 ÷ 5 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 1300000. It is: 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 13

Or you may also write it in exponential form: 25 × 55 × 13

Prime Factorization Table

NumberPrime Factors
12999855, 31, 8387
12999862, 509, 1277
129998732 × 13 × 41 × 271
129998822 × 324997
12999891299989
12999902, 3, 5, 17, 2549
12999917, 11, 16883
129999223 × 162499
12999933, 137, 3163
12999942, 97, 6701
12999955, 37, 7027
129999622 × 33 × 12037
1299997911, 1427
12999982, 7, 92857
12999993, 19, 22807
130000025 × 55 × 13
130000167, 19403
13000022, 3, 11, 19697
1300003197, 6599
130000422 × 325001
130000532 × 5 × 7 × 4127
13000062, 23, 59, 479
130000717, 76471
130000823 × 3 × 54167
1300009263, 4943
13000102, 5, 71, 1831
13000113, 433337
130001222 × 7 × 29 × 1601
130001311, 13, 9091
13000142 × 32 × 72223

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 1300000? (The answer is: 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 13). Pick the number for factorization (e.g. '1300000'). 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 1300000?

Prime Factors of 1300000: 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 13

How many prime factors does 1300000 have?

Number 1300000 has 11 Prime Factors

What is the Prime Factorization of 1300000 in exponential form?

The Prime Factorization of the number 1300000 in the exponential form is: 25 × 55 × 13