Prime Factorization of 262

What is the Prime Factorization of 262?

Answer: Prime Factors of 262: 2, 131

Explanation of number 262 Prime Factorization

Prime Factorization of 262 it is expressing 262 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 262.

Since number 262 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 262, we have to iteratively divide 262 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 262:

The smallest Prime Number which can divide 262 without a remainder is 2. So the first calculation step would look like:

262 ÷ 2 = 131

Now we repeat this action until the result equals 1:

131 ÷ 131 = 1

Now we have all the Prime Factors for number 262. It is: 2, 131

Prime Factor Tree of 262

We may also express the prime factorization of 262 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 262? (The answer is: 2, 131). Pick the number for factorization (e.g. '262'). 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
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
22 × 67
269
2 × 33 × 5
271
24 × 17
3, 7, 13
2, 137
52 × 11
22 × 3 × 23

FAQ

What is the Prime Factorization of 262?

Prime Factors of 262: 2, 131

How many prime factors does 262 have?

Number 262 has 2 Prime Factors