Find the prime factorization of number 22500.

Answer

The prime factorization of 22500 is:
$22500 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5$
Which is the same as :
$22500 = 2^{2} \cdot 3^{2} \cdot 5^{4}$

Explanation

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

22500 can be written as 10 × 2250.	22500 10 2250
10 can be written as 2 × 5.	22500 10 5 2 2250
2250 can be written as 10 × 225.	22500 10 5 2 2250 10 225
10 can be written as 2 × 5.	22500 10 5 2 2250 10 5 2 225
225 can be written as 5 × 45.	22500 10 5 2 2250 10 5 2 225 5 45
45 can be written as 5 × 9.	22500 10 5 2 2250 10 5 2 225 5 45 9 5
9 can be written as 3 × 3.	22500 10 5 2 2250 10 5 2 225 5 45 9 3 3 5
The end nodes are the prime factors of the number 22500.	22500 10 5 2 2250 10 5 2 225 5 45 9 3 3 5

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Find the prime factorization of number 22500.

The prime factorization of 22500 is:22500=2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 Which is the same as :22500=22⋅32⋅54

The prime factorization of 22500 is:
$22500 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5$
Which is the same as :
$22500 = 2^{2} \cdot 3^{2} \cdot 5^{4}$