Find the prime factorization of number 30339.

Answer

The prime factorization of 30339 is:
$30339 = 3 \cdot 3 \cdot 3371$
Which is the same as :
$30339 = 3^{2} \cdot 3371$

Explanation

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

30339 can be written as 3 × 10113.	30339 3 10113
10113 can be written as 3 × 3371.	30339 3 10113 3371 3
The end nodes are the prime factors of the number 30339.	30339 3 10113 3371 3

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Find the prime factorization of number 30339.

The prime factorization of 30339 is:30339=3⋅3⋅3371 Which is the same as :30339=32⋅3371

The prime factorization of 30339 is:
$30339 = 3 \cdot 3 \cdot 3371$
Which is the same as :
$30339 = 3^{2} \cdot 3371$