Find the prime factorization of number 2108.

Answer

The prime factorization of 2108 is:
$2108 = 2 \cdot 2 \cdot 17 \cdot 31$
Which is the same as :
$2108 = 2^{2} \cdot 17 \cdot 31$

Explanation

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

2108 can be written as 2 × 1054.	2108 2 1054
1054 can be written as 2 × 527.	2108 2 1054 527 2
527 can be written as 17 × 31.	2108 2 1054 527 17 31 2
The end nodes are the prime factors of the number 2108.	2108 2 1054 527 17 31 2

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Find the prime factorization of number 2108.

The prime factorization of 2108 is:2108=2⋅2⋅17⋅31 Which is the same as :2108=22⋅17⋅31

The prime factorization of 2108 is:
$2108 = 2 \cdot 2 \cdot 17 \cdot 31$
Which is the same as :
$2108 = 2^{2} \cdot 17 \cdot 31$