Prime Factorization of 4200

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 4200?

Answer: Prime Factors of 4200: 2, 2, 2, 3, 5, 5, 7

or

23 × 3 × 52 × 7

Explanation of number 4200 Prime Factorization

Prime Factorization of 4200 it is expressing 4200 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4200.

Since number 4200 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 4200, we have to iteratively divide 4200 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 4200:

The smallest Prime Number which can divide 4200 without a remainder is 2. So the first calculation step would look like:

4200 ÷ 2 = 2100

Now we repeat this action until the result equals 1:

2100 ÷ 2 = 1050

1050 ÷ 2 = 525

525 ÷ 3 = 175

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 4200. It is: 2, 2, 2, 3, 5, 5, 7

Or you may also write it in exponential form: 23 × 3 × 52 × 7

Prime Factor Tree of 4200

We may also express the prime factorization of 4200 as a Factor Tree:

Related Calculations

See Also

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 4200? (The answer is: 2, 2, 2, 3, 5, 5, 7). Pick the number for factorization (e.g. '4200'). 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

Prime Factorization Table

NumberPrime Factors
418533 × 5 × 31
41862, 7, 13, 23
418753, 79
418822 × 3 × 349
418959, 71
41902, 5, 419
41913, 11, 127
419225 × 131
41937, 599
41942 × 32 × 233
41955, 839
419622 × 1049
41973, 1399
41982, 2099
419913, 17, 19
420023 × 3 × 52 × 7
42014201
42022, 11, 191
420332 × 467
420422 × 1051
42055 × 292
42062, 3, 701
42077, 601
420824 × 263
42093, 23, 61
42102, 5, 421
42114211
421222 × 34 × 13
421311, 383
42142 × 72 × 43

FAQ

What is the Prime Factorization of 4200?

Prime Factors of 4200: 2, 2, 2, 3, 5, 5, 7

How many prime factors does 4200 have?

Number 4200 has 7 Prime Factors

What is the Prime Factorization of 4200 in exponential form?

The Prime Factorization of the number 4200 in the exponential form is: 23 × 3 × 52 × 7

See Also