Find the prime factorization of number 36525.

Answer

The prime factorization of 36525 is:
$36525 = 3 \cdot 5 \cdot 5 \cdot 487$
Which is the same as :
$36525 = 3 \cdot 5^{2} \cdot 487$

Explanation

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

36525 can be written as 5 × 7305.	36525 5 7305
7305 can be written as 5 × 1461.	36525 5 7305 1461 5
1461 can be written as 3 × 487.	36525 5 7305 1461 3 487 5
The end nodes are the prime factors of the number 36525.	36525 5 7305 1461 3 487 5

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Find the prime factorization of number 36525.

The prime factorization of 36525 is:36525=3⋅5⋅5⋅487 Which is the same as :36525=3⋅52⋅487

The prime factorization of 36525 is:
$36525 = 3 \cdot 5 \cdot 5 \cdot 487$
Which is the same as :
$36525 = 3 \cdot 5^{2} \cdot 487$