Find the prime factorization of number 250047.

Answer

The prime factorization of 250047 is:
$250047 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 7 \cdot 7 \cdot 7$
Which is the same as :
$250047 = 3^{6} \cdot 7^{3}$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

250047 can be written as 3 × 83349.	250047 3 83349
83349 can be written as 3 × 27783.	250047 3 83349 27783 3
27783 can be written as 3 × 9261.	250047 3 83349 27783 3 9261 3
9261 can be written as 3 × 3087.	250047 3 83349 27783 3 9261 3087 3 3
3087 can be written as 3 × 1029.	250047 3 83349 27783 3 9261 3087 3 1029 3 3
1029 can be written as 3 × 343.	250047 3 83349 27783 3 9261 3087 3 1029 343 3 3 3
343 can be written as 7 × 49.	250047 3 83349 27783 3 9261 3087 3 1029 343 7 49 3 3 3
49 can be written as 7 × 7.	250047 3 83349 27783 3 9261 3087 3 1029 343 7 49 7 7 3 3 3
The end nodes are the prime factors of the number 250047.	250047 3 83349 27783 3 9261 3087 3 1029 343 7 49 7 7 3 3 3

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Find the prime factorization of number 250047.

The prime factorization of 250047 is:250047=3⋅3⋅3⋅3⋅3⋅3⋅7⋅7⋅7 Which is the same as :250047=36⋅73

The prime factorization of 250047 is:
$250047 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 7 \cdot 7 \cdot 7$
Which is the same as :
$250047 = 3^{6} \cdot 7^{3}$