Prime Factorization of 801

What is the Prime Factorization of 801?

Answer: Prime Factors of 801: 3, 3, 89

or

32 × 89

Explanation of number 801 Prime Factorization

Prime Factorization of 801 it is expressing 801 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 801.

Since number 801 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 801, we have to iteratively divide 801 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 801:

The smallest Prime Number which can divide 801 without a remainder is 3. So the first calculation step would look like:

801 ÷ 3 = 267

Now we repeat this action until the result equals 1:

267 ÷ 3 = 89

89 ÷ 89 = 1

Now we have all the Prime Factors for number 801. It is: 3, 3, 89

Or you may also write it in exponential form: 32 × 89

Prime Factor Tree of 801

We may also express the prime factorization of 801 as a Factor Tree:

Prime factors of 801 factorization tree of 801

Prime Factorization Table

NumberPrime Factors
2, 3, 131
787787
78822 × 197
7893, 263
7902, 5, 79
7917, 113
23 × 32 × 11
13, 61
2, 397
3, 5, 53
79622 × 199
797797
7982, 3, 7, 19
79917, 47
25 × 52
32 × 89
8022, 401
80311, 73
22 × 3 × 67
5, 7, 23
8062, 13, 31
8073, 269
80823 × 101
809
2 × 34 × 5
811
22 × 7 × 29
8133, 271
2, 11, 37
8155, 163

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 801? (The answer is: 3, 3, 89). Pick the number for factorization (e.g. '801'). 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 801?

Prime Factors of 801: 3, 3, 89

How many prime factors does 801 have?

Number 801 has 3 Prime Factors

What is the Prime Factorization of 801 in exponential form?

The Prime Factorization of the number 801 in the exponential form is: 32 × 89