Prime Factorization of 3240

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 3240?

Answer: Prime Factors of 3240: 2, 2, 2, 3, 3, 3, 3, 5

or

23 × 34 × 5

Explanation of number 3240 Prime Factorization

Prime Factorization of 3240 it is expressing 3240 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3240.

Since number 3240 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3240, we have to iteratively divide 3240 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3240:

The smallest Prime Number which can divide 3240 without a remainder is 2. So the first calculation step would look like:

3240 ÷ 2 = 1620

Now we repeat this action until the result equals 1:

1620 ÷ 2 = 810

810 ÷ 2 = 405

405 ÷ 3 = 135

135 ÷ 3 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 3240. It is: 2, 2, 2, 3, 3, 3, 3, 5

Or you may also write it in exponential form: 23 × 34 × 5

Prime Factor Tree of 3240

We may also express the prime factorization of 3240 as a Factor Tree:

Related Calculations

See Also

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 3240? (The answer is: 2, 2, 2, 3, 3, 3, 3, 5). Pick the number for factorization (e.g. '3240'). 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
32253 × 52 × 43
32262, 1613
32277, 461
322822 × 3 × 269
32293229
32302, 5, 17, 19
323132 × 359
323225 × 101
323353, 61
32342 × 3 × 72 × 11
32355, 647
323622 × 809
32373, 13, 83
32382, 1619
323941, 79
324023 × 34 × 5
32417, 463
32422, 1621
32433, 23, 47
324422 × 811
32455, 11, 59
32462, 3, 541
324717, 191
324824 × 7 × 29
324932 × 192
32502 × 53 × 13
32513251
325222 × 3 × 271
32533253
32542, 1627

FAQ

What is the Prime Factorization of 3240?

Prime Factors of 3240: 2, 2, 2, 3, 3, 3, 3, 5

How many prime factors does 3240 have?

Number 3240 has 8 Prime Factors

What is the Prime Factorization of 3240 in exponential form?

The Prime Factorization of the number 3240 in the exponential form is: 23 × 34 × 5

See Also