Prime Factorization of 32000

What is the Prime Factorization of 32000?

Answer: Prime Factors of 32000: 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5

or

28 × 53

Explanation of number 32000 Prime Factorization

Prime Factorization of 32000 it is expressing 32000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 32000.

Since number 32000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 32000, we have to iteratively divide 32000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 32000:

The smallest Prime Number which can divide 32000 without a remainder is 2. So the first calculation step would look like:

32000 ÷ 2 = 16000

Now we repeat this action until the result equals 1:

16000 ÷ 2 = 8000

8000 ÷ 2 = 4000

4000 ÷ 2 = 2000

2000 ÷ 2 = 1000

1000 ÷ 2 = 500

500 ÷ 2 = 250

250 ÷ 2 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 32000. It is: 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5

Or you may also write it in exponential form: 28 × 53

Prime Factor Tree of 32000

We may also express the prime factorization of 32000 as a Factor Tree:

Prime factors of 32000 factorization tree of 32000

Prime Factorization Table

NumberPrime Factors
319855, 6397
319862 × 32 × 1777
3198729, 1103
3198822 × 11 × 727
319893, 10663
319902, 5, 7, 457
3199131991
3199223 × 3 × 31 × 43
3199313, 23, 107
319942, 17, 941
3199534 × 5 × 79
3199622 × 19 × 421
3199772 × 653
319982, 3, 5333
3199911, 2909
28 × 53
320013, 10667
320022, 16001
3200332003
3200422 × 32 × 7 × 127
320055, 37, 173
320062, 13, 1231
320073, 47, 227
3200823 × 4001
3200932009
320102, 3, 5, 11, 97
320117, 17, 269
3201222 × 53 × 151
3201332 × 3557
320142, 16007

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 32000? (The answer is: 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5). Pick the number for factorization (e.g. '32000'). 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 32000?

Prime Factors of 32000: 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5

How many prime factors does 32000 have?

Number 32000 has 11 Prime Factors

What is the Prime Factorization of 32000 in exponential form?

The Prime Factorization of the number 32000 in the exponential form is: 28 × 53