Prime Factorization of 253

What is the Prime Factorization of 253?

Answer: Prime Factors of 253: 11, 23

Explanation of number 253 Prime Factorization

Prime Factorization of 253 it is expressing 253 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 253.

Since number 253 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 253, we have to iteratively divide 253 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 253:

The smallest Prime Number which can divide 253 without a remainder is 11. So the first calculation step would look like:

253 ÷ 11 = 23

Now we repeat this action until the result equals 1:

23 ÷ 23 = 1

Now we have all the Prime Factors for number 253. It is: 11, 23

Prime Factor Tree of 253

We may also express the prime factorization of 253 as a Factor Tree:

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 253? (The answer is: 11, 23). Pick the number for factorization (e.g. '253'). 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
2, 7, 17
239
24 × 3 × 5
241
2 × 112
35
22 × 61
5 × 72
2, 3, 41
13, 19
23 × 31
3, 83
2 × 53
251
22 × 32 × 7
11, 23
2, 127
3, 5, 17
28
257
2, 3, 43
7, 37
22 × 5 × 13
32 × 29
2, 131
263
23 × 3 × 11
5, 53
2, 7, 19
3, 89

FAQ

What is the Prime Factorization of 253?

Prime Factors of 253: 11, 23

How many prime factors does 253 have?

Number 253 has 2 Prime Factors