Find the prime factorization of number 7225.

Answer

The prime factorization of 7225 is:
$7225 = 5 \cdot 5 \cdot 17 \cdot 17$
Which is the same as :
$7225 = 5^{2} \cdot 1 7^{2}$

Explanation

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

7225 can be written as 5 × 1445.	7225 5 1445
1445 can be written as 5 × 289.	7225 5 1445 289 5
289 can be written as 17 × 17.	7225 5 1445 289 17 17 5
The end nodes are the prime factors of the number 7225.	7225 5 1445 289 17 17 5

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Find the prime factorization of number 7225.

The prime factorization of 7225 is:7225=5⋅5⋅17⋅17 Which is the same as :7225=52⋅172

The prime factorization of 7225 is:
$7225 = 5 \cdot 5 \cdot 17 \cdot 17$
Which is the same as :
$7225 = 5^{2} \cdot 1 7^{2}$