Find the prime factorization of number 2604.

Answer

The prime factorization of 2604 is:
$2604 = 2 \cdot 2 \cdot 3 \cdot 7 \cdot 31$
Which is the same as :
$2604 = 2^{2} \cdot 3 \cdot 7 \cdot 31$

Explanation

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

2604 can be written as 2 × 1302.	2604 2 1302
1302 can be written as 2 × 651.	2604 2 1302 651 2
651 can be written as 3 × 217.	2604 2 1302 651 3 217 2
217 can be written as 7 × 31.	2604 2 1302 651 3 217 31 7 2
The end nodes are the prime factors of the number 2604.	2604 2 1302 651 3 217 31 7 2

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Find the prime factorization of number 2604.

The prime factorization of 2604 is:2604=2⋅2⋅3⋅7⋅31 Which is the same as :2604=22⋅3⋅7⋅31

The prime factorization of 2604 is:
$2604 = 2 \cdot 2 \cdot 3 \cdot 7 \cdot 31$
Which is the same as :
$2604 = 2^{2} \cdot 3 \cdot 7 \cdot 31$