Prime Factorization of 42000

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Prime Factors of

What is the Prime Factorization of 42,000?

Answer

Prime Factors of 42,000:
2, 2, 2, 2, 3, 5, 5, 5, 7

or

24 × 3 × 53 × 7

Explanation of number 42,000 Prime Factorization

Prime Factorization of 42,000 is expressing 42,000 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 42,000.

Since number 42,000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 42,000, we have to iteratively divide 42,000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 42,000:

The smallest Prime Number which can divide 42,000 without a remainder is 2. So the first calculation step would look like:

42,000 ÷ 2 = 21,000

Now we repeat this action until the result equals 1:

21,000 ÷ 2 = 10,500

10,500 ÷ 2 = 5,250

5,250 ÷ 2 = 2,625

2,625 ÷ 3 = 875

875 ÷ 5 = 175

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 42,000. 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 42,000

We may also express the prime factorization of 42,000 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 42,000? (The answer is: 2, 2, 2, 2, 3, 5, 5, 5, 7). Pick the number for factorization (e.g. '42000'). After that hit the 'Find' button.
Prime factors are the positive integers having only two factors - 1 and the number itself
Recalculate with different values ↑

Prime Factorization Table

NumberPrime Factors
25,00023 × 55
26,00024 × 53 × 13
27,00023 × 33 × 53
28,00025 × 53 × 7
29,00023 × 53 × 29
30,00024 × 3 × 54
32,00028 × 53
33,00023 × 3 × 53 × 11
34,00024 × 53 × 17
35,00023 × 54 × 7
36,00025 × 32 × 53
38,00024 × 53 × 19
39,00023 × 3 × 53 × 13
40,00026 × 54
41,00023 × 53 × 41
42,00024 × 3 × 53 × 7
43,00023 × 53 × 43
44,00025 × 53 × 11
45,00023 × 32 × 54
45,6302 × 33 × 5 × 132
46,00024 × 53 × 23
48,00027 × 3 × 53
50,00024 × 55
54,00024 × 33 × 53
55,00023 × 54 × 11
56,00026 × 53 × 7
58,00024 × 53 × 29
59,00023 × 53 × 59
60,00025 × 3 × 54
62,00024 × 53 × 31

FAQ

What is the Prime Factorization of 42,000?

Prime Factors of 42,000: 2, 2, 2, 2, 3, 5, 5, 5, 7

How many prime factors does 42,000 have?

Number 42,000 has 9 Prime Factors

What is the Prime Factorization of 42,000 in exponential form?

The Prime Factorization of the number 42,000 in the exponential form is: 24 × 3 × 53 × 7

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