Prime Factorization of 276

What is the Prime Factorization of 276?

Answer: Prime Factors of 276: 2, 2, 3, 23

or

22 × 3 × 23

Explanation of number 276 Prime Factorization

Prime Factorization of 276 it is expressing 276 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 276.

Since number 276 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 276, we have to iteratively divide 276 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 276:

The smallest Prime Number which can divide 276 without a remainder is 2. So the first calculation step would look like:

276 ÷ 2 = 138

Now we repeat this action until the result equals 1:

138 ÷ 2 = 69

69 ÷ 3 = 23

23 ÷ 23 = 1

Now we have all the Prime Factors for number 276. It is: 2, 2, 3, 23

Or you may also write it in exponential form: 22 × 3 × 23

Prime Factor Tree of 276

We may also express the prime factorization of 276 as a Factor Tree:

Prime factors of 276 factorization tree of 276

Prime Factorization Table

NumberPrime Factors
32 × 29
2, 131
263
23 × 3 × 11
5, 53
2, 7, 19
3, 89
22 × 67
269
2 × 33 × 5
271
24 × 17
3, 7, 13
2, 137
52 × 11
22 × 3 × 23
277
2, 139
32 × 31
23 × 5 × 7
281
2, 3, 47
283
22 × 71
3, 5, 19
2, 11, 13
7, 41
25 × 32
172
2, 5, 29

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 276? (The answer is: 2, 2, 3, 23). Pick the number for factorization (e.g. '276'). 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 276?

Prime Factors of 276: 2, 2, 3, 23

How many prime factors does 276 have?

Number 276 has 4 Prime Factors

What is the Prime Factorization of 276 in exponential form?

The Prime Factorization of the number 276 in the exponential form is: 22 × 3 × 23