Prime Factorization of 3120

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Prime Factors of

What is the Prime Factorization of 3120?

Answer: Prime Factors of 3120: 2, 2, 2, 2, 3, 5, 13

or

24 × 3 × 5 × 13

Explanation of number 3120 Prime Factorization

Prime Factorization of 3120 it is expressing 3120 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3120.

Since number 3120 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3120, we have to iteratively divide 3120 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3120:

The smallest Prime Number which can divide 3120 without a remainder is 2. So the first calculation step would look like:

3120 ÷ 2 = 1560

Now we repeat this action until the result equals 1:

1560 ÷ 2 = 780

780 ÷ 2 = 390

390 ÷ 2 = 195

195 ÷ 3 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 3120. It is: 2, 2, 2, 2, 3, 5, 13

Or you may also write it in exponential form: 24 × 3 × 5 × 13

Prime Factor Tree of 3120

We may also express the prime factorization of 3120 as a Factor Tree:

Prime factors of 3120 factorization tree of 3120

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Prime Factorization Table

NumberPrime Factors
310533 × 5 × 23
31062, 1553
310713, 239
310822 × 3 × 7 × 37
31093109
31102, 5, 311
31113, 17, 61
311223 × 389
311311, 283
31142 × 32 × 173
31155, 7, 89
311622 × 19 × 41
31173, 1039
31182, 1559
31193119
312024 × 3 × 5 × 13
31213121
31222, 7, 223
312332 × 347
312422 × 11 × 71
312555
31262, 3, 521
312753, 59
312823 × 17 × 23
31293, 7, 149
31302, 5, 313
313131, 101
313222 × 33 × 29
313313, 241
31342, 1567

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 3120? (The answer is: 2, 2, 2, 2, 3, 5, 13). Pick the number for factorization (e.g. '3120'). 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 3120?

Prime Factors of 3120: 2, 2, 2, 2, 3, 5, 13

How many prime factors does 3120 have?

Number 3120 has 7 Prime Factors

What is the Prime Factorization of 3120 in exponential form?

The Prime Factorization of the number 3120 in the exponential form is: 24 × 3 × 5 × 13

See Also