Prime Factorization of 120000

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Prime Factors of

What is the Prime Factorization of 120000?

Answer: Prime Factors of 120000: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5

or

26 × 3 × 54

Explanation of number 120000 Prime Factorization

Prime Factorization of 120000 it is expressing 120000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 120000.

Since number 120000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 120000, we have to iteratively divide 120000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 120000:

The smallest Prime Number which can divide 120000 without a remainder is 2. So the first calculation step would look like:

120000 ÷ 2 = 60000

Now we repeat this action until the result equals 1:

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 120000. It is: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5

Or you may also write it in exponential form: 26 × 3 × 54

Prime Factor Tree of 120000

We may also express the prime factorization of 120000 as a Factor Tree:

Prime factors of 120000 factorization tree of 120000

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Prime Factorization Table

NumberPrime Factors
1199853, 5, 19, 421
1199862, 17, 3529
1199877, 61, 281
11998822 × 33 × 11 × 101
11998997, 1237
1199902 × 5 × 132 × 71
1199913, 23, 37, 47
11999223 × 53 × 283
119993119993
1199942, 3, 7, 2857
1199955, 103, 233
11999622 × 131 × 229
11999732 × 67 × 199
1199982, 59999
11999911, 10909
12000026 × 3 × 54
12000172 × 31 × 79
1200022, 29, 2069
1200033, 13, 17, 181
12000422 × 19 × 1579
1200055, 24001
1200062 × 32 × 59 × 113
12000741, 2927
12000823 × 7 × 2143
1200093, 109, 367
1200102, 5, 11, 1091
120011120011
12001222 × 3 × 73 × 137
12001343, 2791
1200142, 23, 2609

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 120000? (The answer is: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5). Pick the number for factorization (e.g. '120000'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

FAQ

What is the Prime Factorization of 120000?

Prime Factors of 120000: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5, 5

How many prime factors does 120000 have?

Number 120000 has 11 Prime Factors

What is the Prime Factorization of 120000 in exponential form?

The Prime Factorization of the number 120000 in the exponential form is: 26 × 3 × 54

See Also