Prime Factorization of 492

What is the Prime Factorization of 492?

Answer: Prime Factors of 492: 2, 2, 3, 41

or

22 × 3 × 41

Explanation of number 492 Prime Factorization

Prime Factorization of 492 it is expressing 492 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 492.

Since number 492 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 492, we have to iteratively divide 492 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 492:

The smallest Prime Number which can divide 492 without a remainder is 2. So the first calculation step would look like:

492 ÷ 2 = 246

Now we repeat this action until the result equals 1:

246 ÷ 2 = 123

123 ÷ 3 = 41

41 ÷ 41 = 1

Now we have all the Prime Factors for number 492. It is: 2, 2, 3, 41

Or you may also write it in exponential form: 22 × 3 × 41

Prime Factor Tree of 492

We may also express the prime factorization of 492 as a Factor Tree:

Prime factors of 492 factorization tree of 492

Related Calculations

Prime Factorization Table

NumberPrime Factors
32 × 53
2, 239
479
25 × 3 × 5
13, 37
2, 241
3, 7, 23
22 × 112
5, 97
2 × 35
487
23 × 61
3, 163
2 × 5 × 72
491
22 × 3 × 41
17, 29
2, 13, 19
32 × 5 × 11
24 × 31
7, 71
4982, 3, 83
499
22 × 53
3, 167
5022, 251
503
23 × 32 × 7
5, 101
2, 11, 23

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 492? (The answer is: 2, 2, 3, 41). Pick the number for factorization (e.g. '492'). 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 492?

Prime Factors of 492: 2, 2, 3, 41

How many prime factors does 492 have?

Number 492 has 4 Prime Factors

What is the Prime Factorization of 492 in exponential form?

The Prime Factorization of the number 492 in the exponential form is: 22 × 3 × 41