Prime Factorization of 2745

What is the Prime Factorization of 2745?

Answer: Prime Factors of 2745: 3, 3, 5, 61

or

32 × 5 × 61

Explanation of number 2745 Prime Factorization

Prime Factorization of 2745 it is expressing 2745 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2745.

Since number 2745 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2745, we have to iteratively divide 2745 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2745:

The smallest Prime Number which can divide 2745 without a remainder is 3. So the first calculation step would look like:

2745 ÷ 3 = 915

Now we repeat this action until the result equals 1:

915 ÷ 3 = 305

305 ÷ 5 = 61

61 ÷ 61 = 1

Now we have all the Prime Factors for number 2745. It is: 3, 3, 5, 61

Or you may also write it in exponential form: 32 × 5 × 61

Prime Factor Tree of 2745

We may also express the prime factorization of 2745 as a Factor Tree:

Prime factors of 2745 factorization tree of 2745

Prime Factorization Table

NumberPrime Factors
2, 3, 5, 7, 13
27312731
273222 × 683
27333, 911
27342, 1367
27355, 547
273624 × 32 × 19
27377, 17, 23
27382 × 372
27393, 11, 83
274022 × 5 × 137
27412741
27422, 3, 457
274313, 211
274423 × 73
32 × 5 × 61
27462, 1373
274741, 67
274822 × 3 × 229
27492749
27502 × 53 × 11
27513, 7, 131
275226 × 43
27532753
27542 × 34 × 17
27555, 19, 29
275622 × 13 × 53
27573, 919
27582, 7, 197
275931, 89

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 2745? (The answer is: 3, 3, 5, 61). Pick the number for factorization (e.g. '2745'). 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 2745?

Prime Factors of 2745: 3, 3, 5, 61

How many prime factors does 2745 have?

Number 2745 has 4 Prime Factors

What is the Prime Factorization of 2745 in exponential form?

The Prime Factorization of the number 2745 in the exponential form is: 32 × 5 × 61