Prime Factorization of 2430

What is the Prime Factorization of 2430?

Answer: Prime Factors of 2430: 2, 3, 3, 3, 3, 3, 5

or

2 × 35 × 5

Explanation of number 2430 Prime Factorization

Prime Factorization of 2430 it is expressing 2430 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2430.

Since number 2430 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2430, we have to iteratively divide 2430 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2430:

The smallest Prime Number which can divide 2430 without a remainder is 2. So the first calculation step would look like:

2430 ÷ 2 = 1215

Now we repeat this action until the result equals 1:

1215 ÷ 3 = 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 2430. It is: 2, 3, 3, 3, 3, 3, 5

Or you may also write it in exponential form: 2 × 35 × 5

Related Calculations

Prime Factorization Table

NumberPrime Factors
3, 5, 7, 23
241624 × 151
24172417
24182, 3, 13, 31
241941, 59
22 × 5 × 112
242132 × 269
24222, 7, 173
24232423
242423 × 3 × 101
52 × 97
24262, 1213
24273, 809
242822 × 607
24297, 347
24302 × 35 × 5
243111, 13, 17
243227 × 19
24333, 811
24342, 1217
5, 487
243622 × 3 × 7 × 29
24372437
24382, 23, 53
243932 × 271
244023 × 5 × 61
24412441
24422, 3, 11, 37
24437, 349
244422 × 13 × 47

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 2430? (The answer is: 2, 3, 3, 3, 3, 3, 5). Pick the number for factorization (e.g. '2430'). 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 2430?

Prime Factors of 2430: 2, 3, 3, 3, 3, 3, 5

How many prime factors does 2430 have?

Number 2430 has 7 Prime Factors

What is the Prime Factorization of 2430 in exponential form?

The Prime Factorization of the number 2430 in the exponential form is: 2 × 35 × 5