Prime Factorization of 7320

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Prime Factors of

What is the Prime Factorization of 7320?

Answer: Prime Factors of 7320: 2, 2, 2, 3, 5, 61

or

23 × 3 × 5 × 61

Explanation of number 7320 Prime Factorization

Prime Factorization of 7320 it is expressing 7320 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 7320.

Since number 7320 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 7320, we have to iteratively divide 7320 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 7320:

The smallest Prime Number which can divide 7320 without a remainder is 2. So the first calculation step would look like:

7320 ÷ 2 = 3660

Now we repeat this action until the result equals 1:

3660 ÷ 2 = 1830

1830 ÷ 2 = 915

915 ÷ 3 = 305

305 ÷ 5 = 61

61 ÷ 61 = 1

Now we have all the Prime Factors for number 7320. It is: 2, 2, 2, 3, 5, 61

Or you may also write it in exponential form: 23 × 3 × 5 × 61

Prime Factor Tree of 7320

We may also express the prime factorization of 7320 as a Factor Tree:

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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 7320? (The answer is: 2, 2, 2, 3, 5, 61). Pick the number for factorization (e.g. '7320'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
73053, 5, 487
73062, 13, 281
73077307
730822 × 32 × 7 × 29
73097309
73102, 5, 17, 43
73113, 2437
731224 × 457
731371, 103
73142, 3, 23, 53
73155, 7, 11, 19
731622 × 31 × 59
731733 × 271
73182, 3659
731913, 563
732023 × 3 × 5 × 61
73217321
73222, 7, 523
73233, 2441
732422 × 1831
732552 × 293
73262 × 32 × 11 × 37
732717, 431
732825 × 229
73293, 7, 349
73302, 5, 733
73317331
733222 × 3 × 13 × 47
73337333
73342, 19, 193

FAQ

What is the Prime Factorization of 7320?

Prime Factors of 7320: 2, 2, 2, 3, 5, 61

How many prime factors does 7320 have?

Number 7320 has 6 Prime Factors

What is the Prime Factorization of 7320 in exponential form?

The Prime Factorization of the number 7320 in the exponential form is: 23 × 3 × 5 × 61

See Also