Find the prime factorization of number 3780.

Answer

The prime factorization of 3780 is:
$3780 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 5 \cdot 7$
Which is the same as :
$3780 = 2^{2} \cdot 3^{3} \cdot 5 \cdot 7$

Explanation

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

3780 can be written as 10 × 378.	3780 10 378
10 can be written as 2 × 5.	3780 10 5 2 378
378 can be written as 2 × 189.	3780 10 5 2 378 2 189
189 can be written as 3 × 63.	3780 10 5 2 378 2 189 63 3
63 can be written as 3 × 21.	3780 10 5 2 378 2 189 63 3 21 3
21 can be written as 3 × 7.	3780 10 5 2 378 2 189 63 3 21 7 3 3
The end nodes are the prime factors of the number 3780.	3780 10 5 2 378 2 189 63 3 21 7 3 3

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Find the prime factorization of number 3780.

The prime factorization of 3780 is:3780=2⋅2⋅3⋅3⋅3⋅5⋅7 Which is the same as :3780=22⋅33⋅5⋅7

The prime factorization of 3780 is:
$3780 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 5 \cdot 7$
Which is the same as :
$3780 = 2^{2} \cdot 3^{3} \cdot 5 \cdot 7$