Prime Factorization of 273

What is the Prime Factorization of 273?

Answer: Prime Factors of 273: 3, 7, 13

Explanation of number 273 Prime Factorization

Prime Factorization of 273 it is expressing 273 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 273.

Since number 273 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 273, we have to iteratively divide 273 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 273:

The smallest Prime Number which can divide 273 without a remainder is 3. So the first calculation step would look like:

273 ÷ 3 = 91

Now we repeat this action until the result equals 1:

91 ÷ 7 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 273. It is: 3, 7, 13

Prime Factor Tree of 273

We may also express the prime factorization of 273 as a Factor Tree:

Prime factors of 273 factorization tree of 273

Prime Factorization Table

NumberPrime Factors
2, 3, 43
7, 37
22 × 5 × 13
32 × 29
2, 131
263
23 × 3 × 11
5, 53
2, 7, 19
3, 89
22 × 67
269
2 × 33 × 5
271
24 × 17
3, 7, 13
2, 137
52 × 11
22 × 3 × 23
277
2, 139
32 × 31
23 × 5 × 7
281
2, 3, 47
283
22 × 71
3, 5, 19
2, 11, 13
7, 41

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 273? (The answer is: 3, 7, 13). Pick the number for factorization (e.g. '273'). 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 273?

Prime Factors of 273: 3, 7, 13

How many prime factors does 273 have?

Number 273 has 3 Prime Factors