Prime Factorization of 7020

What is the Prime Factorization of 7020?

Answer: Prime Factors of 7020: 2, 2, 3, 3, 3, 5, 13

or

22 × 33 × 5 × 13

Explanation of number 7020 Prime Factorization

Prime Factorization of 7020 it is expressing 7020 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 7020.

Since number 7020 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 7020, we have to iteratively divide 7020 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 7020:

The smallest Prime Number which can divide 7020 without a remainder is 2. So the first calculation step would look like:

7020 ÷ 2 = 3510

Now we repeat this action until the result equals 1:

3510 ÷ 2 = 1755

1755 ÷ 3 = 585

585 ÷ 3 = 195

195 ÷ 3 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 7020. It is: 2, 2, 3, 3, 3, 5, 13

Or you may also write it in exponential form: 22 × 33 × 5 × 13

Prime Factor Tree of 7020

We may also express the prime factorization of 7020 as a Factor Tree:

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 7020? (The answer is: 2, 2, 3, 3, 3, 5, 13). Pick the number for factorization (e.g. '7020'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
70053, 5, 467
70062, 31, 113
700772 × 11 × 13
700825 × 3 × 73
700943, 163
70102, 5, 701
701132 × 19 × 41
701222 × 1753
70137013
70142, 3, 7, 167
70155, 23, 61
701623 × 877
70173, 2339
70182 × 112 × 29
70197019
22 × 33 × 5 × 13
70217, 17, 59
70222, 3511
70233, 2341
702424 × 439
702552 × 281
70262, 3, 1171
70277027
702822 × 7 × 251
702932 × 11 × 71
70302, 5, 19, 37
703179, 89
703223 × 3 × 293
703313, 541
70342, 3517

FAQ

What is the Prime Factorization of 7020?

Prime Factors of 7020: 2, 2, 3, 3, 3, 5, 13

How many prime factors does 7020 have?

Number 7020 has 7 Prime Factors

What is the Prime Factorization of 7020 in exponential form?

The Prime Factorization of the number 7020 in the exponential form is: 22 × 33 × 5 × 13