Prime Factorization of 242

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 242?

Answer: Prime Factors of 242: 2, 11, 11

or

2 × 112

Explanation of number 242 Prime Factorization

Prime Factorization of 242 it is expressing 242 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 242.

Since number 242 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 242, we have to iteratively divide 242 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 242:

The smallest Prime Number which can divide 242 without a remainder is 2. So the first calculation step would look like:

242 ÷ 2 = 121

Now we repeat this action until the result equals 1:

121 ÷ 11 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 242. It is: 2, 11, 11

Or you may also write it in exponential form: 2 × 112

Prime Factor Tree of 242

We may also express the prime factorization of 242 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 242? (The answer is: 2, 11, 11). Pick the number for factorization (e.g. '242'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
227227
22822 × 3 × 19
229229
2302, 5, 23
2313, 7, 11
23223 × 29
233233
2342 × 32 × 13
2355, 47
23622 × 59
2373, 79
2382, 7, 17
239239
24024 × 3 × 5
241241
2422 × 112
24335
24422 × 61
2455 × 72
2462, 3, 41
24713, 19
24823 × 31
2493, 83
2502 × 53
251251
25222 × 32 × 7
25311, 23
2542, 127
2553, 5, 17
25628

FAQ

What is the Prime Factorization of 242?

Prime Factors of 242: 2, 11, 11

How many prime factors does 242 have?

Number 242 has 3 Prime Factors

What is the Prime Factorization of 242 in exponential form?

The Prime Factorization of the number 242 in the exponential form is: 2 × 112

See Also