Prime Factorization of 572

What is the Prime Factorization of 572?

Answer: Prime Factors of 572: 2, 2, 11, 13

or

22 × 11 × 13

Explanation of number 572 Prime Factorization

Prime Factorization of 572 it is expressing 572 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 572.

Since number 572 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 572, we have to iteratively divide 572 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 572:

The smallest Prime Number which can divide 572 without a remainder is 2. So the first calculation step would look like:

572 ÷ 2 = 286

Now we repeat this action until the result equals 1:

286 ÷ 2 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 572. It is: 2, 2, 11, 13

Or you may also write it in exponential form: 22 × 11 × 13

Prime Factor Tree of 572

We may also express the prime factorization of 572 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 572? (The answer is: 2, 2, 11, 13). Pick the number for factorization (e.g. '572'). 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
557
2 × 32 × 31
13, 43
24 × 5 × 7
3, 11, 17
2, 281
563
22 × 3 × 47
5, 113
5662, 283
34 × 7
23 × 71
569
2, 3, 5, 19
571
22 × 11 × 13
3, 191
5742, 7, 41
52 × 23
26 × 32
577
2 × 172
5793, 193
22 × 5 × 29
5817, 83
2, 3, 97
58311, 53
23 × 73
32 × 5 × 13
5862, 293

FAQ

What is the Prime Factorization of 572?

Prime Factors of 572: 2, 2, 11, 13

How many prime factors does 572 have?

Number 572 has 4 Prime Factors

What is the Prime Factorization of 572 in exponential form?

The Prime Factorization of the number 572 in the exponential form is: 22 × 11 × 13