Prime Factorization of 272

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Prime Factors of

What is the Prime Factorization of 272?

Answer: Prime Factors of 272: 2, 2, 2, 2, 17

or

24 × 17

Explanation of number 272 Prime Factorization

Prime Factorization of 272 it is expressing 272 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 272.

Since number 272 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 272, we have to iteratively divide 272 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 272:

The smallest Prime Number which can divide 272 without a remainder is 2. So the first calculation step would look like:

272 ÷ 2 = 136

Now we repeat this action until the result equals 1:

136 ÷ 2 = 68

68 ÷ 2 = 34

34 ÷ 2 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 272. It is: 2, 2, 2, 2, 17

Or you may also write it in exponential form: 24 × 17

Prime Factor Tree of 272

We may also express the prime factorization of 272 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 272? (The answer is: 2, 2, 2, 2, 17). Pick the number for factorization (e.g. '272'). 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
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
27932 × 31
28023 × 5 × 7
281281
2822, 3, 47
283283
28422 × 71
2853, 5, 19
2862, 11, 13

FAQ

What is the Prime Factorization of 272?

Prime Factors of 272: 2, 2, 2, 2, 17

How many prime factors does 272 have?

Number 272 has 5 Prime Factors

What is the Prime Factorization of 272 in exponential form?

The Prime Factorization of the number 272 in the exponential form is: 24 × 17

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