Prime Factorization of 4720

What is the Prime Factorization of 4720?

Answer: Prime Factors of 4720: 2, 2, 2, 2, 5, 59

or

24 × 5 × 59

Explanation of number 4720 Prime Factorization

Prime Factorization of 4720 it is expressing 4720 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4720.

Since number 4720 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 4720, we have to iteratively divide 4720 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 4720:

The smallest Prime Number which can divide 4720 without a remainder is 2. So the first calculation step would look like:

4720 ÷ 2 = 2360

Now we repeat this action until the result equals 1:

2360 ÷ 2 = 1180

1180 ÷ 2 = 590

590 ÷ 2 = 295

295 ÷ 5 = 59

59 ÷ 59 = 1

Now we have all the Prime Factors for number 4720. It is: 2, 2, 2, 2, 5, 59

Or you may also write it in exponential form: 24 × 5 × 59

Prime Factorization Table

NumberPrime Factors
47055, 941
47062, 13, 181
470732 × 523
470822 × 11 × 107
470917, 277
47102, 3, 5, 157
47117, 673
471223 × 19 × 31
47133, 1571
47142, 2357
47155, 23, 41
471622 × 32 × 131
471753, 89
47182, 7, 337
47193 × 112 × 13
472024 × 5 × 59
47214721
47222, 3, 787
47234723
472422 × 1181
33 × 52 × 7
47262, 17, 139
472729, 163
472823 × 3 × 197
47294729
47302, 5, 11, 43
47313, 19, 83
473222 × 7 × 132
47334733
47342 × 32 × 263

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 4720? (The answer is: 2, 2, 2, 2, 5, 59). Pick the number for factorization (e.g. '4720'). 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 4720?

Prime Factors of 4720: 2, 2, 2, 2, 5, 59

How many prime factors does 4720 have?

Number 4720 has 6 Prime Factors

What is the Prime Factorization of 4720 in exponential form?

The Prime Factorization of the number 4720 in the exponential form is: 24 × 5 × 59