Prime Factorization of 552

What is the Prime Factorization of 552?

Answer: Prime Factors of 552: 2, 2, 2, 3, 23

or

23 × 3 × 23

Explanation of number 552 Prime Factorization

Prime Factorization of 552 it is expressing 552 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 552.

Since number 552 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 552, we have to iteratively divide 552 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 552:

The smallest Prime Number which can divide 552 without a remainder is 2. So the first calculation step would look like:

552 ÷ 2 = 276

Now we repeat this action until the result equals 1:

276 ÷ 2 = 138

138 ÷ 2 = 69

69 ÷ 3 = 23

23 ÷ 23 = 1

Now we have all the Prime Factors for number 552. It is: 2, 2, 2, 3, 23

Or you may also write it in exponential form: 23 × 3 × 23

Prime Factor Tree of 552

We may also express the prime factorization of 552 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 552? (The answer is: 2, 2, 2, 3, 23). Pick the number for factorization (e.g. '552'). 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
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
55119, 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
563
22 × 3 × 47
5, 113
5662, 283

FAQ

What is the Prime Factorization of 552?

Prime Factors of 552: 2, 2, 2, 3, 23

How many prime factors does 552 have?

Number 552 has 5 Prime Factors

What is the Prime Factorization of 552 in exponential form?

The Prime Factorization of the number 552 in the exponential form is: 23 × 3 × 23