Find the prime factorization of number 720.

Answer

The prime factorization of 720 is:
$720 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5$
Which is the same as :
$720 = 2^{4} \cdot 3^{2} \cdot 5$

Explanation

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

720 can be written as 10 × 72.	720 10 72
10 can be written as 2 × 5.	720 10 5 2 72
72 can be written as 2 × 36.	720 10 5 2 72 2 36
36 can be written as 2 × 18.	720 10 5 2 72 2 36 18 2
18 can be written as 2 × 9.	720 10 5 2 72 2 36 18 2 9 2
9 can be written as 3 × 3.	720 10 5 2 72 2 36 18 2 9 3 3 2
The end nodes are the prime factors of the number 720.	720 10 5 2 72 2 36 18 2 9 3 3 2

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Find the prime factorization of number 720.

The prime factorization of 720 is:720=2⋅2⋅2⋅2⋅3⋅3⋅5 Which is the same as :720=24⋅32⋅5

The prime factorization of 720 is:
$720 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5$
Which is the same as :
$720 = 2^{4} \cdot 3^{2} \cdot 5$