Prime Factorization of 9480

What is the Prime Factorization of 9480?

Answer: Prime Factors of 9480: 2, 2, 2, 3, 5, 79

or

23 × 3 × 5 × 79

Explanation of number 9480 Prime Factorization

Prime Factorization of 9480 it is expressing 9480 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9480.

Since number 9480 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 9480, we have to iteratively divide 9480 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 9480:

The smallest Prime Number which can divide 9480 without a remainder is 2. So the first calculation step would look like:

9480 ÷ 2 = 4740

Now we repeat this action until the result equals 1:

4740 ÷ 2 = 2370

2370 ÷ 2 = 1185

1185 ÷ 3 = 395

395 ÷ 5 = 79

79 ÷ 79 = 1

Now we have all the Prime Factors for number 9480. It is: 2, 2, 2, 3, 5, 79

Or you may also write it in exponential form: 23 × 3 × 5 × 79

Prime Factorization Table

NumberPrime Factors
94653, 5, 631
94662, 4733
94679467
946822 × 32 × 263
946917, 557
94702, 5, 947
94713, 7, 11, 41
947228 × 37
94739473
94742, 3, 1579
947552 × 379
947622 × 23 × 103
947736 × 13
94782, 7, 677
94799479
948023 × 3 × 5 × 79
948119, 499
94822, 11, 431
94833, 29, 109
948422 × 2371
94855, 7, 271
94862 × 32 × 17 × 31
948753, 179
948824 × 593
94893, 3163
94902, 5, 13, 73
94919491
949222 × 3 × 7 × 113
949311, 863
94942, 47, 101

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 9480? (The answer is: 2, 2, 2, 3, 5, 79). Pick the number for factorization (e.g. '9480'). 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 9480?

Prime Factors of 9480: 2, 2, 2, 3, 5, 79

How many prime factors does 9480 have?

Number 9480 has 6 Prime Factors

What is the Prime Factorization of 9480 in exponential form?

The Prime Factorization of the number 9480 in the exponential form is: 23 × 3 × 5 × 79