Prime Factorization of 7400

What is the Prime Factorization of 7400?

Answer: Prime Factors of 7400: 2, 2, 2, 5, 5, 37

or

23 × 52 × 37

Explanation of number 7400 Prime Factorization

Prime Factorization of 7400 it is expressing 7400 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 7400.

Since number 7400 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 7400, we have to iteratively divide 7400 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 7400:

The smallest Prime Number which can divide 7400 without a remainder is 2. So the first calculation step would look like:

7400 ÷ 2 = 3700

Now we repeat this action until the result equals 1:

3700 ÷ 2 = 1850

1850 ÷ 2 = 925

925 ÷ 5 = 185

185 ÷ 5 = 37

37 ÷ 37 = 1

Now we have all the Prime Factors for number 7400. It is: 2, 2, 2, 5, 5, 37

Or you may also write it in exponential form: 23 × 52 × 37

Related Calculations

Prime Factorization Table

NumberPrime Factors
73855, 7, 211
73862, 3, 1231
738783, 89
738822 × 1847
738932 × 821
73902, 5, 739
739119, 389
739225 × 3 × 7 × 11
73937393
73942, 3697
73953, 5, 17, 29
739622 × 432
739713, 569
73982 × 33 × 137
739972 × 151
740023 × 52 × 37
74013, 2467
74022, 3701
740311, 673
740422 × 3 × 617
74055, 1481
74062 × 7 × 232
740732 × 823
740824 × 463
740931, 239
74102, 3, 5, 13, 19
74117411
741222 × 17 × 109
74133, 7, 353
74142, 11, 337

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 7400? (The answer is: 2, 2, 2, 5, 5, 37). Pick the number for factorization (e.g. '7400'). 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 7400?

Prime Factors of 7400: 2, 2, 2, 5, 5, 37

How many prime factors does 7400 have?

Number 7400 has 6 Prime Factors

What is the Prime Factorization of 7400 in exponential form?

The Prime Factorization of the number 7400 in the exponential form is: 23 × 52 × 37