Prime Factorization of 1620

What is the Prime Factorization of 1620?

Answer: Prime Factors of 1620: 2, 2, 3, 3, 3, 3, 5

or

22 × 34 × 5

Explanation of number 1620 Prime Factorization

Prime Factorization of 1620 it is expressing 1620 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1620.

Since number 1620 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1620, we have to iteratively divide 1620 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1620:

The smallest Prime Number which can divide 1620 without a remainder is 2. So the first calculation step would look like:

1620 ÷ 2 = 810

Now we repeat this action until the result equals 1:

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 1620. It is: 2, 2, 3, 3, 3, 3, 5

Or you may also write it in exponential form: 22 × 34 × 5

Prime Factor Tree of 1620

We may also express the prime factorization of 1620 as a Factor Tree:

Prime factors of 1620 factorization tree of 1620

Prime Factorization Table

NumberPrime Factors
16053, 5, 107
16062, 11, 73
16071607
160823 × 3 × 67
16091609
16102, 5, 7, 23
161132 × 179
161222 × 13 × 31
16131613
16142, 3, 269
16155, 17, 19
161624 × 101
16173 × 72 × 11
16182, 809
16191619
22 × 34 × 5
16211621
16222, 811
16233, 541
162423 × 7 × 29
162553 × 13
16262, 3, 271
16271627
162822 × 11 × 37
162932 × 181
16302, 5, 163
16317, 233
163225 × 3 × 17
163323, 71
16342, 19, 43

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 1620? (The answer is: 2, 2, 3, 3, 3, 3, 5). Pick the number for factorization (e.g. '1620'). 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 1620?

Prime Factors of 1620: 2, 2, 3, 3, 3, 3, 5

How many prime factors does 1620 have?

Number 1620 has 7 Prime Factors

What is the Prime Factorization of 1620 in exponential form?

The Prime Factorization of the number 1620 in the exponential form is: 22 × 34 × 5