Prime Factorization of 891

What is the Prime Factorization of 891?

Answer: Prime Factors of 891: 3, 3, 3, 3, 11

or

34 × 11

Explanation of number 891 Prime Factorization

Prime Factorization of 891 it is expressing 891 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 891.

Since number 891 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 891, we have to iteratively divide 891 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 891:

The smallest Prime Number which can divide 891 without a remainder is 3. So the first calculation step would look like:

891 ÷ 3 = 297

Now we repeat this action until the result equals 1:

297 ÷ 3 = 99

99 ÷ 3 = 33

33 ÷ 3 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 891. It is: 3, 3, 3, 3, 11

Or you may also write it in exponential form: 34 × 11

Prime Factor Tree of 891

We may also express the prime factorization of 891 as a Factor Tree:

Prime factors of 891 factorization tree of 891

Prime Factorization Table

NumberPrime Factors
87622 × 3 × 73
877
8782, 439
3, 293
24 × 5 × 11
881
2 × 32 × 72
883883
22 × 13 × 17
8853, 5, 59
8862, 443
887
23 × 3 × 37
8897, 127
2, 5, 89
34 × 11
89222 × 223
19, 47
8942, 3, 149
8955, 179
27 × 7
3, 13, 23
8982, 449
29, 31
22 × 32 × 52
17, 53
9022, 11, 41
3, 7, 43
90423 × 113
9055, 181

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 891? (The answer is: 3, 3, 3, 3, 11). Pick the number for factorization (e.g. '891'). 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 891?

Prime Factors of 891: 3, 3, 3, 3, 11

How many prime factors does 891 have?

Number 891 has 5 Prime Factors

What is the Prime Factorization of 891 in exponential form?

The Prime Factorization of the number 891 in the exponential form is: 34 × 11