Prime Factorization of 3360

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Prime Factors of

What is the Prime Factorization of 3360?

Answer: Prime Factors of 3360: 2, 2, 2, 2, 2, 3, 5, 7

or

25 × 3 × 5 × 7

Explanation of number 3360 Prime Factorization

Prime Factorization of 3360 it is expressing 3360 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3360.

Since number 3360 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3360, we have to iteratively divide 3360 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3360:

The smallest Prime Number which can divide 3360 without a remainder is 2. So the first calculation step would look like:

3360 ÷ 2 = 1680

Now we repeat this action until the result equals 1:

1680 ÷ 2 = 840

840 ÷ 2 = 420

420 ÷ 2 = 210

210 ÷ 2 = 105

105 ÷ 3 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 3360. It is: 2, 2, 2, 2, 2, 3, 5, 7

Or you may also write it in exponential form: 25 × 3 × 5 × 7

Prime Factor Tree of 3360

We may also express the prime factorization of 3360 as a Factor Tree:

Prime factors of 3360 factorization tree of 3360

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Prime Factorization Table

NumberPrime Factors
33453, 5, 223
33462, 7, 239
33473347
334822 × 33 × 31
334917, 197
33502 × 52 × 67
33513, 1117
335223 × 419
33537, 479
33542, 3, 13, 43
33555, 11, 61
335622 × 839
335732 × 373
33582, 23, 73
33593359
336025 × 3 × 5 × 7
33613361
33622 × 412
33633, 19, 59
336422 × 292
33655, 673
33662 × 32 × 11 × 17
33677, 13, 37
336823 × 421
33693, 1123
33702, 5, 337
33713371
337222 × 3 × 281
33733373
33742, 7, 241

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 3360? (The answer is: 2, 2, 2, 2, 2, 3, 5, 7). Pick the number for factorization (e.g. '3360'). 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 3360?

Prime Factors of 3360: 2, 2, 2, 2, 2, 3, 5, 7

How many prime factors does 3360 have?

Number 3360 has 8 Prime Factors

What is the Prime Factorization of 3360 in exponential form?

The Prime Factorization of the number 3360 in the exponential form is: 25 × 3 × 5 × 7

See Also