Prime Factorization of 482

What is the Prime Factorization of 482?

Answer: Prime Factors of 482: 2, 241

Explanation of number 482 Prime Factorization

Prime Factorization of 482 it is expressing 482 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 482.

Since number 482 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 482, we have to iteratively divide 482 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 482:

The smallest Prime Number which can divide 482 without a remainder is 2. So the first calculation step would look like:

482 ÷ 2 = 241

Now we repeat this action until the result equals 1:

241 ÷ 241 = 1

Now we have all the Prime Factors for number 482. It is: 2, 241

Prime Factor Tree of 482

We may also express the prime factorization of 482 as a Factor Tree:

Prime factors of 482 factorization tree of 482

Prime Factorization Table

NumberPrime Factors
467
22 × 32 × 13
7, 67
2, 5, 47
3, 157
23 × 59
11, 43
2, 3, 79
52 × 19
22 × 7 × 17
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

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 482? (The answer is: 2, 241). Pick the number for factorization (e.g. '482'). 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 482?

Prime Factors of 482: 2, 241

How many prime factors does 482 have?

Number 482 has 2 Prime Factors