Prime Factorization of 268

What is the Prime Factorization of 268?

Answer: Prime Factors of 268: 2, 2, 67

or

22 × 67

Explanation of number 268 Prime Factorization

Prime Factorization of 268 it is expressing 268 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 268.

Since number 268 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 268, we have to iteratively divide 268 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 268:

The smallest Prime Number which can divide 268 without a remainder is 2. So the first calculation step would look like:

268 ÷ 2 = 134

Now we repeat this action until the result equals 1:

134 ÷ 2 = 67

67 ÷ 67 = 1

Now we have all the Prime Factors for number 268. It is: 2, 2, 67

Or you may also write it in exponential form: 22 × 67

Prime Factor Tree of 268

We may also express the prime factorization of 268 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 268? (The answer is: 2, 2, 67). Pick the number for factorization (e.g. '268'). 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
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
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

FAQ

What is the Prime Factorization of 268?

Prime Factors of 268: 2, 2, 67

How many prime factors does 268 have?

Number 268 has 3 Prime Factors

What is the Prime Factorization of 268 in exponential form?

The Prime Factorization of the number 268 in the exponential form is: 22 × 67