Prime Factorization of 1105

What is the Prime Factorization of 1105?

Answer: Prime Factors of 1105: 5, 13, 17

Explanation of number 1105 Prime Factorization

Prime Factorization of 1105 it is expressing 1105 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1105.

Since number 1105 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1105, we have to iteratively divide 1105 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1105:

The smallest Prime Number which can divide 1105 without a remainder is 5. So the first calculation step would look like:

1105 ÷ 5 = 221

Now we repeat this action until the result equals 1:

221 ÷ 13 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 1105. It is: 5, 13, 17

Prime Factor Tree of 1105

We may also express the prime factorization of 1105 as a Factor Tree:

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 1105? (The answer is: 5, 13, 17). Pick the number for factorization (e.g. '1105'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
10902, 5, 109
10911091
109222 × 3 × 7 × 13
10931093
10942, 547
3, 5, 73
109623 × 137
10971097
10982 × 32 × 61
10997, 157
22 × 52 × 11
11013, 367
11022, 19, 29
11031103
110424 × 3 × 23
5, 13, 17
11062, 7, 79
110733 × 41
110822 × 277
11091109
2, 3, 5, 37
111111, 101
111223 × 139
11133, 7, 53
11142, 557
11155, 223
111622 × 32 × 31
11171117
11182, 13, 43
11193, 373

FAQ

What is the Prime Factorization of 1105?

Prime Factors of 1105: 5, 13, 17

How many prime factors does 1105 have?

Number 1105 has 3 Prime Factors