Prime Factorization of 42000

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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:

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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 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

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
2700023 × 33 × 53
2800025 × 53 × 7
2900023 × 53 × 29
3000024 × 3 × 54
3100023 × 53 × 31
3200028 × 53
3300023 × 3 × 53 × 11
3400024 × 53 × 17
3468023 × 3 × 5 × 172
3500023 × 54 × 7
3600025 × 32 × 53
3800024 × 53 × 19
3900023 × 3 × 53 × 13
4000026 × 54
4100023 × 53 × 41
4200024 × 3 × 53 × 7
4300023 × 53 × 43
4400025 × 53 × 11
4500023 × 32 × 54
456302 × 33 × 5 × 132
4600024 × 53 × 23
4800027 × 3 × 53
4900023 × 53 × 72
5000024 × 55
5100023 × 3 × 53 × 17
5197533 × 52 × 7 × 11
5200025 × 53 × 13
5300023 × 53 × 53
5400024 × 33 × 53
5500023 × 54 × 11

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