Prime Factorization of 1180

What is the Prime Factorization of 1180?

Answer: Prime Factors of 1180: 2, 2, 5, 59

or

22 × 5 × 59

Explanation of number 1180 Prime Factorization

Prime Factorization of 1180 it is expressing 1180 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1180.

Since number 1180 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1180, we have to iteratively divide 1180 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1180:

The smallest Prime Number which can divide 1180 without a remainder is 2. So the first calculation step would look like:

1180 ÷ 2 = 590

Now we repeat this action until the result equals 1:

590 ÷ 2 = 295

295 ÷ 5 = 59

59 ÷ 59 = 1

Now we have all the Prime Factors for number 1180. It is: 2, 2, 5, 59

Or you may also write it in exponential form: 22 × 5 × 59

Prime Factor Tree of 1180

We may also express the prime factorization of 1180 as a Factor Tree:

Related Calculations

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 1180? (The answer is: 2, 2, 5, 59). Pick the number for factorization (e.g. '1180'). 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
11655, 233
11662, 11, 53
11673, 389
116824 × 73
11697, 167
2 × 32 × 5 × 13
11711171
117222 × 293
11733, 17, 23
11742, 587
117552 × 47
117623 × 3 × 72
117711, 107
11782, 19, 31
117932 × 131
22 × 5 × 59
11811181
11822, 3, 197
11837 × 132
118425 × 37
11853, 5, 79
11862, 593
11871187
118822 × 33 × 11
118929, 41
11902, 5, 7, 17
11913, 397
119223 × 149
11931193
11942, 3, 199

FAQ

What is the Prime Factorization of 1180?

Prime Factors of 1180: 2, 2, 5, 59

How many prime factors does 1180 have?

Number 1180 has 4 Prime Factors

What is the Prime Factorization of 1180 in exponential form?

The Prime Factorization of the number 1180 in the exponential form is: 22 × 5 × 59