Prime Factorization of 32

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Prime Factors of

What is the Prime Factorization of 32?

Answer: Prime Factors of 32: 2, 2, 2, 2, 2

or

25

Explanation of number 32 Prime Factorization

Prime Factorization of 32 it is expressing 32 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 32.

Since number 32 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 32, we have to iteratively divide 32 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 32:

The smallest Prime Number which can divide 32 without a remainder is 2. So the first calculation step would look like:

32 ÷ 2 = 16

Now we repeat this action until the result equals 1:

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Now we have all the Prime Factors for number 32. It is: 2, 2, 2, 2, 2

Or you may also write it in exponential form: 25

Prime Factor Tree of 32

We may also express the prime factorization of 32 as a Factor Tree:

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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 32? (The answer is: 2, 2, 2, 2, 2). Pick the number for factorization (e.g. '32'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
1717
182 × 32
1919
2022 × 5
213, 7
222, 11
2323
2423 × 3
2552
262, 13
2733
2822 × 7
2929
302, 3, 5
3131
3225
333, 11
342, 17
355, 7
3622 × 32
3737
382, 19
393, 13
4023 × 5
4141
422, 3, 7
4343
4422 × 11
4532 × 5
462, 23

FAQ

What is the Prime Factorization of 32?

Prime Factors of 32: 2, 2, 2, 2, 2

How many prime factors does 32 have?

Number 32 has 5 Prime Factors

What is the Prime Factorization of 32 in exponential form?

The Prime Factorization of the number 32 in the exponential form is: 25

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