Prime Factorization of 264

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Prime Factors of

What is the Prime Factorization of 264?

Answer: Prime Factors of 264: 2, 2, 2, 3, 11

or

23 × 3 × 11

Explanation of number 264 Prime Factorization

Prime Factorization of 264 it is expressing 264 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 264.

Since number 264 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 264, we have to iteratively divide 264 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 264:

The smallest Prime Number which can divide 264 without a remainder is 2. So the first calculation step would look like:

264 ÷ 2 = 132

Now we repeat this action until the result equals 1:

132 ÷ 2 = 66

66 ÷ 2 = 33

33 ÷ 3 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 264. It is: 2, 2, 2, 3, 11

Or you may also write it in exponential form: 23 × 3 × 11

Prime Factor Tree of 264

We may also express the prime factorization of 264 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 264? (The answer is: 2, 2, 2, 3, 11). Pick the number for factorization (e.g. '264'). 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
2493, 83
2502 × 53
251251
25222 × 32 × 7
25311, 23
2542, 127
2553, 5, 17
25628
257257
2582, 3, 43
2597, 37
26022 × 5 × 13
26132 × 29
2622, 131
263263
26423 × 3 × 11
2655, 53
2662, 7, 19
2673, 89
26822 × 67
269269
2702 × 33 × 5
271271
27224 × 17
2733, 7, 13
2742, 137
27552 × 11
27622 × 3 × 23
277277
2782, 139

FAQ

What is the Prime Factorization of 264?

Prime Factors of 264: 2, 2, 2, 3, 11

How many prime factors does 264 have?

Number 264 has 5 Prime Factors

What is the Prime Factorization of 264 in exponential form?

The Prime Factorization of the number 264 in the exponential form is: 23 × 3 × 11

See Also