Prime Factorization of 548

What is the Prime Factorization of 548?

Answer: Prime Factors of 548: 2, 2, 137

or

22 × 137

Explanation of number 548 Prime Factorization

Prime Factorization of 548 it is expressing 548 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 548.

Since number 548 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 548, we have to iteratively divide 548 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 548:

The smallest Prime Number which can divide 548 without a remainder is 2. So the first calculation step would look like:

548 ÷ 2 = 274

Now we repeat this action until the result equals 1:

274 ÷ 2 = 137

137 ÷ 137 = 1

Now we have all the Prime Factors for number 548. It is: 2, 2, 137

Or you may also write it in exponential form: 22 × 137

Prime Factor Tree of 548

We may also express the prime factorization of 548 as a Factor Tree:

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 548? (The answer is: 2, 2, 137). Pick the number for factorization (e.g. '548'). 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, 41
5342, 3, 89
5, 107
23 × 67
3, 179
5382, 269
72 × 11
22 × 33 × 5
541
2, 271
3, 181
25 × 17
5, 109
2, 3, 7, 13
547
22 × 137
54932 × 61
2 × 52 × 11
19, 29
23 × 3 × 23
7, 79
2, 277
3, 5, 37
22 × 139
557
2 × 32 × 31
13, 43
24 × 5 × 7
3, 11, 17
2, 281

FAQ

What is the Prime Factorization of 548?

Prime Factors of 548: 2, 2, 137

How many prime factors does 548 have?

Number 548 has 3 Prime Factors

What is the Prime Factorization of 548 in exponential form?

The Prime Factorization of the number 548 in the exponential form is: 22 × 137