Prime Factorization of 1000

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 1000?

Answer: Prime Factors of 1000: 2, 2, 2, 5, 5, 5

or

23 × 53

Explanation of number 1000 Prime Factorization

Prime Factorization of 1000 it is expressing 1000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1000.

Since number 1000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1000, we have to iteratively divide 1000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1000:

The smallest Prime Number which can divide 1000 without a remainder is 2. So the first calculation step would look like:

1000 ÷ 2 = 500

Now we repeat this action until the result equals 1:

500 ÷ 2 = 250

250 ÷ 2 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 1000. It is: 2, 2, 2, 5, 5, 5

Or you may also write it in exponential form: 23 × 53

Prime Factor Tree of 1000

We may also express the prime factorization of 1000 as a Factor Tree:

Related Calculations

See Also

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 1000? (The answer is: 2, 2, 2, 5, 5, 5). Pick the number for factorization (e.g. '1000'). 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

Prime Factorization Table

NumberPrime Factors
9855, 197
9862, 17, 29
9873, 7, 47
98822 × 13 × 19
98923, 43
9902 × 32 × 5 × 11
991991
99225 × 31
9933, 331
9942, 7, 71
9955, 199
99622 × 3 × 83
997997
9982, 499
99933 × 37
100023 × 53
10017, 11, 13
10022, 3, 167
100317, 59
100422 × 251
10053, 5, 67
10062, 503
100719, 53
100824 × 32 × 7
10091009
10102, 5, 101
10113, 337
101222 × 11 × 23
10131013
10142 × 3 × 132

FAQ

What is the Prime Factorization of 1000?

Prime Factors of 1000: 2, 2, 2, 5, 5, 5

How many prime factors does 1000 have?

Number 1000 has 6 Prime Factors

What is the Prime Factorization of 1000 in exponential form?

The Prime Factorization of the number 1000 in the exponential form is: 23 × 53

See Also