Prime Factorization of 4920

What is the Prime Factorization of 4920?

Answer: Prime Factors of 4920: 2, 2, 2, 3, 5, 41

or

23 × 3 × 5 × 41

Explanation of number 4920 Prime Factorization

Prime Factorization of 4920 it is expressing 4920 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4920.

Since number 4920 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 4920, we have to iteratively divide 4920 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 4920:

The smallest Prime Number which can divide 4920 without a remainder is 2. So the first calculation step would look like:

4920 ÷ 2 = 2460

Now we repeat this action until the result equals 1:

2460 ÷ 2 = 1230

1230 ÷ 2 = 615

615 ÷ 3 = 205

205 ÷ 5 = 41

41 ÷ 41 = 1

Now we have all the Prime Factors for number 4920. It is: 2, 2, 2, 3, 5, 41

Or you may also write it in exponential form: 23 × 3 × 5 × 41

Prime Factorization Table

NumberPrime Factors
490532 × 5 × 109
49062, 11, 223
49077, 701
490822 × 3 × 409
49094909
49102, 5, 491
49113, 1637
491224 × 307
4913173
49142 × 33 × 7 × 13
49155, 983
491622 × 1229
49173, 11, 149
49182, 2459
49194919
492023 × 3 × 5 × 41
49217, 19, 37
49222, 23, 107
492332 × 547
492422 × 1231
492552 × 197
49262, 3, 821
492713, 379
492826 × 7 × 11
49293, 31, 53
49302, 5, 17, 29
49314931
493222 × 32 × 137
49334933
49342, 2467

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 4920? (The answer is: 2, 2, 2, 3, 5, 41). Pick the number for factorization (e.g. '4920'). 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 4920?

Prime Factors of 4920: 2, 2, 2, 3, 5, 41

How many prime factors does 4920 have?

Number 4920 has 6 Prime Factors

What is the Prime Factorization of 4920 in exponential form?

The Prime Factorization of the number 4920 in the exponential form is: 23 × 3 × 5 × 41