Find the prime factorization of number 17424.

Answer

The prime factorization of 17424 is:
$17424 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 11 \cdot 11$
Which is the same as :
$17424 = 2^{4} \cdot 3^{2} \cdot 1 1^{2}$

Explanation

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

17424 can be written as 2 × 8712.	17424 2 8712
8712 can be written as 2 × 4356.	17424 2 8712 4356 2
4356 can be written as 2 × 2178.	17424 2 8712 4356 2 2178 2
2178 can be written as 2 × 1089.	17424 2 8712 4356 2 2178 1089 2 2
1089 can be written as 3 × 363.	17424 2 8712 4356 2 2178 1089 3 363 2 2
363 can be written as 3 × 121.	17424 2 8712 4356 2 2178 1089 3 363 121 3 2 2
121 can be written as 11 × 11.	17424 2 8712 4356 2 2178 1089 3 363 121 11 11 3 2 2
The end nodes are the prime factors of the number 17424.	17424 2 8712 4356 2 2178 1089 3 363 121 11 11 3 2 2

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Find the prime factorization of number 17424.

The prime factorization of 17424 is:17424=2⋅2⋅2⋅2⋅3⋅3⋅11⋅11 Which is the same as :17424=24⋅32⋅112

The prime factorization of 17424 is:
$17424 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 11 \cdot 11$
Which is the same as :
$17424 = 2^{4} \cdot 3^{2} \cdot 1 1^{2}$