Prime Factorization of 48000

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Prime Factors of

What is the Prime Factorization of 48000?

Answer: Prime Factors of 48000: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5

or

27 × 3 × 53

Explanation of number 48000 Prime Factorization

Prime Factorization of 48000 it is expressing 48000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 48000.

Since number 48000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 48000, we have to iteratively divide 48000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 48000:

The smallest Prime Number which can divide 48000 without a remainder is 2. So the first calculation step would look like:

48000 ÷ 2 = 24000

Now we repeat this action until the result equals 1:

24000 ÷ 2 = 12000

12000 ÷ 2 = 6000

6000 ÷ 2 = 3000

3000 ÷ 2 = 1500

1500 ÷ 2 = 750

750 ÷ 2 = 375

375 ÷ 3 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 48000. It is: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5

Or you may also write it in exponential form: 27 × 3 × 53

Prime Factor Tree of 48000

We may also express the prime factorization of 48000 as a Factor Tree:

Prime factors of 48000 factorization tree of 48000

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Prime Factorization Table

NumberPrime Factors
479853, 5, 7, 457
479862, 23993
4798747, 1021
4798822 × 32 × 31 × 43
4798937, 1297
479902, 5, 4799
479913, 17, 941
4799223 × 7 × 857
4799311, 4363
479942, 3, 19, 421
479955, 29, 331
4799622 × 132 × 71
4799732 × 5333
479982, 103, 233
479997, 6857
4800027 × 3 × 53
4800123, 2087
480022, 24001
480033, 16001
4800422 × 11 × 1091
480055, 9601
480062 × 33 × 7 × 127
4800761, 787
4800823 × 17 × 353
480093, 13, 1231
480102, 5, 4801
4801141, 1171
4801222 × 3 × 4001
480137 × 193
480142, 24007

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 48000? (The answer is: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5). Pick the number for factorization (e.g. '48000'). 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 48000?

Prime Factors of 48000: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5

How many prime factors does 48000 have?

Number 48000 has 11 Prime Factors

What is the Prime Factorization of 48000 in exponential form?

The Prime Factorization of the number 48000 in the exponential form is: 27 × 3 × 53

See Also