Prime Factorization of 800

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Prime Factors of

What is the Prime Factorization of 800?

Answer: Prime Factors of 800: 2, 2, 2, 2, 2, 5, 5

or

25 × 52

Explanation of number 800 Prime Factorization

Prime Factorization of 800 it is expressing 800 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 800.

Since number 800 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 800, we have to iteratively divide 800 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 800:

The smallest Prime Number which can divide 800 without a remainder is 2. So the first calculation step would look like:

800 ÷ 2 = 400

Now we repeat this action until the result equals 1:

400 ÷ 2 = 200

200 ÷ 2 = 100

100 ÷ 2 = 50

50 ÷ 2 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 800. It is: 2, 2, 2, 2, 2, 5, 5

Or you may also write it in exponential form: 25 × 52

Prime Factor Tree of 800

We may also express the prime factorization of 800 as a Factor Tree:

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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 800? (The answer is: 2, 2, 2, 2, 2, 5, 5). Pick the number for factorization (e.g. '800'). 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
7855, 157
7862, 3, 131
787787
78822 × 197
7893, 263
7902, 5, 79
7917, 113
79223 × 32 × 11
79313, 61
7942, 397
7953, 5, 53
79622 × 199
797797
7982, 3, 7, 19
79917, 47
80025 × 52
80132 × 89
8022, 401
80311, 73
80422 × 3 × 67
8055, 7, 23
8062, 13, 31
8073, 269
80823 × 101
809809
8102 × 34 × 5
811811
81222 × 7 × 29
8133, 271
8142, 11, 37

FAQ

What is the Prime Factorization of 800?

Prime Factors of 800: 2, 2, 2, 2, 2, 5, 5

How many prime factors does 800 have?

Number 800 has 7 Prime Factors

What is the Prime Factorization of 800 in exponential form?

The Prime Factorization of the number 800 in the exponential form is: 25 × 52

See Also