Prime Factorization of 1155

What is the Prime Factorization of 1155?

Answer: Prime Factors of 1155: 3, 5, 7, 11

Explanation of number 1155 Prime Factorization

Prime Factorization of 1155 it is expressing 1155 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1155.

Since number 1155 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1155, we have to iteratively divide 1155 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1155:

The smallest Prime Number which can divide 1155 without a remainder is 3. So the first calculation step would look like:

1155 ÷ 3 = 385

Now we repeat this action until the result equals 1:

385 ÷ 5 = 77

77 ÷ 7 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 1155. It is: 3, 5, 7, 11

Prime Factor Tree of 1155

We may also express the prime factorization of 1155 as a Factor Tree:

Prime factors of 1155 factorization tree of 1155

See Also

Prime Factorization Table

NumberPrime Factors
114022 × 3 × 5 × 19
11417, 163
11422, 571
114332 × 127
114423 × 11 × 13
11455, 229
11462, 3, 191
114731, 37
114822 × 7 × 41
11493, 383
2 × 52 × 23
11511151
115227 × 32
11531153
11542, 577
3, 5, 7, 11
115622 × 172
115713, 89
11582, 3, 193
115919, 61
116023 × 5 × 29
116133 × 43
11622, 7, 83
11631163
116422 × 3 × 97
11655, 233
11662, 11, 53
11673, 389
116824 × 73
11697, 167

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 1155? (The answer is: 3, 5, 7, 11). Pick the number for factorization (e.g. '1155'). 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 1155?

Prime Factors of 1155: 3, 5, 7, 11

How many prime factors does 1155 have?

Number 1155 has 4 Prime Factors