Prime Factorization of 14000

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Prime Factors of

What is the Prime Factorization of 14000?

Answer: Prime Factors of 14000: 2, 2, 2, 2, 5, 5, 5, 7

or

24 × 53 × 7

Explanation of number 14000 Prime Factorization

Prime Factorization of 14000 it is expressing 14000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 14000.

Since number 14000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 14000, we have to iteratively divide 14000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 14000:

The smallest Prime Number which can divide 14000 without a remainder is 2. So the first calculation step would look like:

14000 ÷ 2 = 7000

Now we repeat this action until the result equals 1:

7000 ÷ 2 = 3500

3500 ÷ 2 = 1750

1750 ÷ 2 = 875

875 ÷ 5 = 175

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 14000. It is: 2, 2, 2, 2, 5, 5, 5, 7

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

Prime Factor Tree of 14000

We may also express the prime factorization of 14000 as a Factor Tree:

Related Calculations

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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 14000? (The answer is: 2, 2, 2, 2, 5, 5, 5, 7). Pick the number for factorization (e.g. '14000'). 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
139855, 2797
139862 × 33 × 7 × 37
1398771, 197
1398822 × 13 × 269
139893, 4663
139902, 5, 1399
1399117, 823
1399223 × 3 × 11 × 53
139937, 1999
139942, 6997
1399532 × 5 × 311
1399622 × 3499
1399713997
139982, 3, 2333
1399913999
1400024 × 53 × 7
140013, 13, 359
140022, 7001
1400311, 19, 67
1400422 × 32 × 389
140055, 2801
140062, 47, 149
140073, 7, 23, 29
1400823 × 17 × 103
1400914009
140102, 3, 5, 467
1401114011
1401222 × 31 × 113
1401334 × 173
140142 × 72 × 11 × 13

FAQ

What is the Prime Factorization of 14000?

Prime Factors of 14000: 2, 2, 2, 2, 5, 5, 5, 7

How many prime factors does 14000 have?

Number 14000 has 8 Prime Factors

What is the Prime Factorization of 14000 in exponential form?

The Prime Factorization of the number 14000 in the exponential form is: 24 × 53 × 7

See Also