Prime Factorization of 442

What is the Prime Factorization of 442?

Answer: Prime Factors of 442: 2, 13, 17

Explanation of number 442 Prime Factorization

Prime Factorization of 442 it is expressing 442 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 442.

Since number 442 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 442, we have to iteratively divide 442 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 442:

The smallest Prime Number which can divide 442 without a remainder is 2. So the first calculation step would look like:

442 ÷ 2 = 221

Now we repeat this action until the result equals 1:

221 ÷ 13 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 442. It is: 2, 13, 17

Prime Factor Tree of 442

We may also express the prime factorization of 442 as a Factor Tree:

Related Calculations

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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 442? (The answer is: 2, 13, 17). Pick the number for factorization (e.g. '442'). 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
4277, 61
22 × 107
3, 11, 13
2, 5, 43
431
24 × 33
433
2, 7, 31
3, 5, 29
22 × 109
19, 23
2, 3, 73
439
23 × 5 × 11
32 × 72
2, 13, 17
443
22 × 3 × 37
5, 89
4462, 223
3, 149
26 × 7
449
2 × 32 × 52
11, 41
22 × 113
3, 151
2, 227
5, 7, 13
23 × 3 × 19

FAQ

What is the Prime Factorization of 442?

Prime Factors of 442: 2, 13, 17

How many prime factors does 442 have?

Number 442 has 3 Prime Factors