Prime Factorization of 42000

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 42000?

Answer

Prime Factors of 42000: 2, 2, 2, 2, 3, 5, 5, 5, 7

or

24 × 3 × 53 × 7

Explanation of number 42000 Prime Factorization

Prime Factorization of 42000 is expressing 42000 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 42000.

Since number 42000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 42000, we have to iteratively divide 42000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 42000:

The smallest Prime Number which can divide 42000 without a remainder is 2. So the first calculation step would look like:

42000 ÷ 2 = 21000

Now we repeat this action until the result equals 1:

21000 ÷ 2 = 10500

10500 ÷ 2 = 5250

5250 ÷ 2 = 2625

2625 ÷ 3 = 875

875 ÷ 5 = 175

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 42000. It is: 2, 2, 2, 2, 3, 5, 5, 5, 7

Or you may also write it in exponential form: 24 × 3 × 53 × 7

Prime Factor Tree of 42000

We may also express the prime factorization of 42000 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 42000? (The answer is: 2, 2, 2, 2, 3, 5, 5, 5, 7). Pick the number for factorization (e.g. '42000'). 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

Number Prime Factors
41985 33 × 5 × 311
41986 2, 7, 2999
41987 112 × 347
41988 22 × 3 × 3499
41989 199, 211
41990 2, 5, 13, 17, 19
41991 3, 13997
41992 23 × 29 × 181
41993 72 × 857
41994 2 × 32 × 2333
41995 5, 37, 227
41996 22 × 10499
41997 3, 13999
41998 2, 11, 23, 83
41999 41999
42000 24 × 3 × 53 × 7
42001 97, 433
42002 2, 21001
42003 32 × 13 × 359
42004 22 × 10501
42005 5, 31, 271
42006 2, 3, 7001
42007 7, 17, 353
42008 23 × 59 × 89
42009 3, 11, 19, 67
42010 2, 5, 4201
42011 43, 977
42012 22 × 33 × 389
42013 42013
42014 2, 7, 3001

FAQ

What is the Prime Factorization of 42000?
Prime Factors of 42000: 2, 2, 2, 2, 3, 5, 5, 5, 7

How many prime factors does 42000 have?
Number 42000 has 9 Prime Factors

What is the Prime Factorization of 42000 in exponential form?
The Prime Factorization of the number 42000 in the exponential form is: 24 × 3 × 53 × 7

See Also