Prime Factorization of 240000

What is the Prime Factorization of 240000?

Answer: Prime Factors of 240000: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5

or

27 × 3 × 54

Explanation of number 240000 Prime Factorization

Prime Factorization of 240000 it is expressing 240000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 240000.

Since number 240000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 240000, we have to iteratively divide 240000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 240000:

The smallest Prime Number which can divide 240000 without a remainder is 2. So the first calculation step would look like:

240000 ÷ 2 = 120000

Now we repeat this action until the result equals 1:

120000 ÷ 2 = 60000

60000 ÷ 2 = 30000

30000 ÷ 2 = 15000

15000 ÷ 2 = 7500

7500 ÷ 2 = 3750

3750 ÷ 2 = 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 240000. It is: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5

Or you may also write it in exponential form: 27 × 3 × 54

Related Calculations

Prime Factorization Table

NumberPrime Factors
23998532 × 5 × 5333
2399862, 119993
23998711, 21817
23998822 × 3 × 7 × 2857
23998917, 19, 743
2399902, 5, 103, 233
2399913, 79997
23999223 × 131 × 229
23999313, 18461
2399942 × 32 × 67 × 199
2399955, 7, 6857
23999622 × 59999
2399973, 79999
2399982, 11, 10909
239999239999
24000027 × 3 × 54
240001107, 2243
2400022 × 72 × 31 × 79
24000334 × 2963
24000422 × 29 × 2069
2400055, 23, 2087
2400062, 3, 13, 17, 181
240007240007
24000823 × 19 × 1579
2400093, 7, 11, 1039
2400102, 5, 24001
240011240011
24001222 × 32 × 59 × 113
240013389, 617
2400142, 41, 2927

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 240000? (The answer is: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5). Pick the number for factorization (e.g. '240000'). 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 240000?

Prime Factors of 240000: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5

How many prime factors does 240000 have?

Number 240000 has 12 Prime Factors

What is the Prime Factorization of 240000 in exponential form?

The Prime Factorization of the number 240000 in the exponential form is: 27 × 3 × 54