Find the prime factorization of number 2280.

Answer

The prime factorization of 2280 is:
$2280 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 19$
Which is the same as :
$2280 = 2^{3} \cdot 3 \cdot 5 \cdot 19$

Explanation

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

2280 can be written as 10 × 228.	2280 10 228
10 can be written as 2 × 5.	2280 10 5 2 228
228 can be written as 2 × 114.	2280 10 5 2 228 2 114
114 can be written as 2 × 57.	2280 10 5 2 228 2 114 57 2
57 can be written as 3 × 19.	2280 10 5 2 228 2 114 57 3 19 2
The end nodes are the prime factors of the number 2280.	2280 10 5 2 228 2 114 57 3 19 2

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Find the prime factorization of number 2280.

The prime factorization of 2280 is:2280=2⋅2⋅2⋅3⋅5⋅19 Which is the same as :2280=23⋅3⋅5⋅19

The prime factorization of 2280 is:
$2280 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 19$
Which is the same as :
$2280 = 2^{3} \cdot 3 \cdot 5 \cdot 19$