Prime Factorization of 9240

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Prime Factors of

What is the Prime Factorization of 9240?

Answer: Prime Factors of 9240: 2, 2, 2, 3, 5, 7, 11

or

23 × 3 × 5 × 7 × 11

Explanation of number 9240 Prime Factorization

Prime Factorization of 9240 it is expressing 9240 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9240.

Since number 9240 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 9240, we have to iteratively divide 9240 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 9240:

The smallest Prime Number which can divide 9240 without a remainder is 2. So the first calculation step would look like:

9240 ÷ 2 = 4620

Now we repeat this action until the result equals 1:

4620 ÷ 2 = 2310

2310 ÷ 2 = 1155

1155 ÷ 3 = 385

385 ÷ 5 = 77

77 ÷ 7 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 9240. It is: 2, 2, 2, 3, 5, 7, 11

Or you may also write it in exponential form: 23 × 3 × 5 × 7 × 11

Prime Factor Tree of 9240

We may also express the prime factorization of 9240 as a Factor Tree:

Prime factors of 9240 factorization tree of 9240

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Prime Factorization Table

NumberPrime Factors
922532 × 52 × 41
92262, 7, 659
92279227
922822 × 3 × 769
922911, 839
92302, 5, 13, 71
92313, 17, 181
923224 × 577
92337, 1319
92342 × 35 × 19
92355, 1847
923622 × 2309
92373, 3079
92382, 31, 149
92399239
924023 × 3 × 5 × 7 × 11
92419241
92422, 4621
924332 × 13 × 79
924422 × 2311
92455 × 432
92462, 3, 23, 67
92477, 1321
924825 × 172
92493, 3083
92502 × 53 × 37
925111 × 292
925222 × 32 × 257
925319, 487
92542, 7, 661

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 9240? (The answer is: 2, 2, 2, 3, 5, 7, 11). Pick the number for factorization (e.g. '9240'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

FAQ

What is the Prime Factorization of 9240?

Prime Factors of 9240: 2, 2, 2, 3, 5, 7, 11

How many prime factors does 9240 have?

Number 9240 has 7 Prime Factors

What is the Prime Factorization of 9240 in exponential form?

The Prime Factorization of the number 9240 in the exponential form is: 23 × 3 × 5 × 7 × 11

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