Prime Factorization of 532

What is the Prime Factorization of 532?

Answer: Prime Factors of 532: 2, 2, 7, 19

or

22 × 7 × 19

Explanation of number 532 Prime Factorization

Prime Factorization of 532 it is expressing 532 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 532.

Since number 532 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 532, we have to iteratively divide 532 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 532:

The smallest Prime Number which can divide 532 without a remainder is 2. So the first calculation step would look like:

532 ÷ 2 = 266

Now we repeat this action until the result equals 1:

266 ÷ 2 = 133

133 ÷ 7 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 532. It is: 2, 2, 7, 19

Or you may also write it in exponential form: 22 × 7 × 19

Prime Factor Tree of 532

We may also express the prime factorization of 532 as a Factor Tree:

Prime factors of 532 factorization tree of 532

Prime Factorization Table

NumberPrime Factors
51711, 47
2, 7, 37
3, 173
23 × 5 × 13
521
2 × 32 × 29
523
22 × 131
3 × 52 × 7
2, 263
17, 31
24 × 3 × 11
232
2, 5, 53
32 × 59
22 × 7 × 19
13, 41
5342, 3, 89
5, 107
23 × 67
3, 179
5382, 269
72 × 11
22 × 33 × 5
541
5422, 271
3, 181
25 × 17
5, 109
2, 3, 7, 13

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 532? (The answer is: 2, 2, 7, 19). Pick the number for factorization (e.g. '532'). 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 532?

Prime Factors of 532: 2, 2, 7, 19

How many prime factors does 532 have?

Number 532 has 4 Prime Factors

What is the Prime Factorization of 532 in exponential form?

The Prime Factorization of the number 532 in the exponential form is: 22 × 7 × 19