Prime Factorization of 1140

What is the Prime Factorization of 1140?

Answer: Prime Factors of 1140: 2, 2, 3, 5, 19

or

22 × 3 × 5 × 19

Explanation of number 1140 Prime Factorization

Prime Factorization of 1140 it is expressing 1140 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1140.

Since number 1140 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1140, we have to iteratively divide 1140 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1140:

The smallest Prime Number which can divide 1140 without a remainder is 2. So the first calculation step would look like:

1140 ÷ 2 = 570

Now we repeat this action until the result equals 1:

570 ÷ 2 = 285

285 ÷ 3 = 95

95 ÷ 5 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 1140. It is: 2, 2, 3, 5, 19

Or you may also write it in exponential form: 22 × 3 × 5 × 19

Related Calculations

Prime Factorization Table

NumberPrime Factors
32 × 53
11262, 563
112772 × 23
112823 × 3 × 47
11291129
11302, 5, 113
11313, 13, 29
113222 × 283
113311, 103
11342 × 34 × 7
11355, 227
113624 × 71
11373, 379
11382, 569
113917, 67
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

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 1140? (The answer is: 2, 2, 3, 5, 19). Pick the number for factorization (e.g. '1140'). 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 1140?

Prime Factors of 1140: 2, 2, 3, 5, 19

How many prime factors does 1140 have?

Number 1140 has 5 Prime Factors

What is the Prime Factorization of 1140 in exponential form?

The Prime Factorization of the number 1140 in the exponential form is: 22 × 3 × 5 × 19