Find the prime factorization of number 32258.

Answer

The prime factorization of 32258 is:
$32258 = 2 \cdot 127 \cdot 127$
Which is the same as :
$32258 = 2 \cdot 12 7^{2}$

Explanation

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

32258 can be written as 2 × 16129.	32258 2 16129
16129 can be written as 127 × 127.	32258 2 16129 127 127
The end nodes are the prime factors of the number 32258.	32258 2 16129 127 127

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Find the prime factorization of number 32258.

The prime factorization of 32258 is:32258=2⋅127⋅127 Which is the same as :32258=2⋅1272

The prime factorization of 32258 is:
$32258 = 2 \cdot 127 \cdot 127$
Which is the same as :
$32258 = 2 \cdot 12 7^{2}$