Find the prime factorization of number 2303.

Answer

The prime factorization of 2303 is:
$2303 = 7 \cdot 7 \cdot 47$
Which is the same as :
$2303 = 7^{2} \cdot 47$

Explanation

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

2303 can be written as 7 × 329.	2303 7 329
329 can be written as 7 × 47.	2303 7 329 47 7
The end nodes are the prime factors of the number 2303.	2303 7 329 47 7

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Find the prime factorization of number 2303.

The prime factorization of 2303 is:2303=7⋅7⋅47 Which is the same as :2303=72⋅47

The prime factorization of 2303 is:
$2303 = 7 \cdot 7 \cdot 47$
Which is the same as :
$2303 = 7^{2} \cdot 47$