Prime Factorization of 1320

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Prime Factors of

What is the Prime Factorization of 1320?

Answer: Prime Factors of 1320: 2, 2, 2, 3, 5, 11

or

23 × 3 × 5 × 11

Explanation of number 1320 Prime Factorization

Prime Factorization of 1320 it is expressing 1320 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1320.

Since number 1320 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1320, we have to iteratively divide 1320 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1320:

The smallest Prime Number which can divide 1320 without a remainder is 2. So the first calculation step would look like:

1320 ÷ 2 = 660

Now we repeat this action until the result equals 1:

660 ÷ 2 = 330

330 ÷ 2 = 165

165 ÷ 3 = 55

55 ÷ 5 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 1320. It is: 2, 2, 2, 3, 5, 11

Or you may also write it in exponential form: 23 × 3 × 5 × 11

Prime Factor Tree of 1320

We may also express the prime factorization of 1320 as a Factor Tree:

Prime factors of 1320 factorization tree of 1320

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Prime Factorization Table

NumberPrime Factors
130532 × 5 × 29
13062, 653
13071307
130822 × 3 × 109
13097, 11, 17
13102, 5, 131
13113, 19, 23
131225 × 41
131313, 101
13142 × 32 × 73
13155, 263
131622 × 7 × 47
13173, 439
13182, 659
13191319
132023 × 3 × 5 × 11
13211321
13222, 661
132333 × 72
132422 × 331
132552 × 53
13262, 3, 13, 17
13271327
132824 × 83
13293, 443
13302, 5, 7, 19
1331113
133222 × 32 × 37
133331, 43
13342, 23, 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 1320? (The answer is: 2, 2, 2, 3, 5, 11). Pick the number for factorization (e.g. '1320'). 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

FAQ

What is the Prime Factorization of 1320?

Prime Factors of 1320: 2, 2, 2, 3, 5, 11

How many prime factors does 1320 have?

Number 1320 has 6 Prime Factors

What is the Prime Factorization of 1320 in exponential form?

The Prime Factorization of the number 1320 in the exponential form is: 23 × 3 × 5 × 11

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