Prime Factorization of 47000

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Prime Factors of

What is the Prime Factorization of 47000?

Answer: Prime Factors of 47000: 2, 2, 2, 5, 5, 5, 47

or

23 × 53 × 47

Explanation of number 47000 Prime Factorization

Prime Factorization of 47000 it is expressing 47000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 47000.

Since number 47000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 47000, we have to iteratively divide 47000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 47000:

The smallest Prime Number which can divide 47000 without a remainder is 2. So the first calculation step would look like:

47000 ÷ 2 = 23500

Now we repeat this action until the result equals 1:

23500 ÷ 2 = 11750

11750 ÷ 2 = 5875

5875 ÷ 5 = 1175

1175 ÷ 5 = 235

235 ÷ 5 = 47

47 ÷ 47 = 1

Now we have all the Prime Factors for number 47000. It is: 2, 2, 2, 5, 5, 5, 47

Or you may also write it in exponential form: 23 × 53 × 47

Prime Factor Tree of 47000

We may also express the prime factorization of 47000 as a Factor Tree:

Prime factors of 47000 factorization tree of 47000

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Prime Factorization Table

NumberPrime Factors
469855, 9397
469862, 3, 41, 191
4698719, 2473
4698822 × 17 × 691
4698932 × 23 × 227
469902, 5, 37, 127
4699173 × 137
4699224 × 3 × 11 × 89
4699346993
469942, 23497
469953, 5, 13, 241
4699622 × 31 × 379
4699746997
469982 × 32 × 7 × 373
4699943, 1093
4700023 × 53 × 47
470013, 15667
470022, 71, 331
4700311, 4273
4700422 × 3 × 3917
470055, 7, 17, 79
470062, 19, 1237
4700733 × 1741
4700825 × 13 × 113
4700929, 1621
470102, 3, 5, 1567
4701153, 887
4701222 × 7 × 23 × 73
470133, 15671
470142, 11, 2137

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 47000? (The answer is: 2, 2, 2, 5, 5, 5, 47). Pick the number for factorization (e.g. '47000'). 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

FAQ

What is the Prime Factorization of 47000?

Prime Factors of 47000: 2, 2, 2, 5, 5, 5, 47

How many prime factors does 47000 have?

Number 47000 has 7 Prime Factors

What is the Prime Factorization of 47000 in exponential form?

The Prime Factorization of the number 47000 in the exponential form is: 23 × 53 × 47

See Also