Prime Factorization of 3060

What is the Prime Factorization of 3060?

Answer: Prime Factors of 3060: 2, 2, 3, 3, 5, 17

or

22 × 32 × 5 × 17

Explanation of number 3060 Prime Factorization

Prime Factorization of 3060 it is expressing 3060 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3060.

Since number 3060 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3060, we have to iteratively divide 3060 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3060:

The smallest Prime Number which can divide 3060 without a remainder is 2. So the first calculation step would look like:

3060 ÷ 2 = 1530

Now we repeat this action until the result equals 1:

1530 ÷ 2 = 765

765 ÷ 3 = 255

255 ÷ 3 = 85

85 ÷ 5 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 3060. It is: 2, 2, 3, 3, 5, 17

Or you may also write it in exponential form: 22 × 32 × 5 × 17

Prime Factor Tree of 3060

We may also express the prime factorization of 3060 as a Factor Tree:

Prime factors of 3060 factorization tree of 3060

Related Calculations

See Also

Prime Factorization Table

NumberPrime Factors
30453, 5, 7, 29
30462, 1523
304711, 277
304823 × 3 × 127
30493049
2 × 52 × 61
305133 × 113
305222 × 7 × 109
305343, 71
30542, 3, 509
30555, 13, 47
305624 × 191
30573, 1019
30582, 11, 139
30597, 19, 23
22 × 32 × 5 × 17
30613061
30622, 1531
30633, 1021
306423 × 383
30655, 613
30662, 3, 7, 73
30673067
306822 × 13 × 59
306932 × 11 × 31
30702, 5, 307
307137, 83
3072210 × 3
30737, 439
30742, 29, 53

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 3060? (The answer is: 2, 2, 3, 3, 5, 17). Pick the number for factorization (e.g. '3060'). 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 3060?

Prime Factors of 3060: 2, 2, 3, 3, 5, 17

How many prime factors does 3060 have?

Number 3060 has 6 Prime Factors

What is the Prime Factorization of 3060 in exponential form?

The Prime Factorization of the number 3060 in the exponential form is: 22 × 32 × 5 × 17