Find the prime factorization of number 4512.

Answer

The prime factorization of 4512 is:
$4512 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 47$
Which is the same as :
$4512 = 2^{5} \cdot 3 \cdot 47$

Explanation

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

4512 can be written as 2 × 2256.	4512 2 2256
2256 can be written as 2 × 1128.	4512 2 2256 1128 2
1128 can be written as 2 × 564.	4512 2 2256 1128 2 564 2
564 can be written as 2 × 282.	4512 2 2256 1128 2 564 282 2 2
282 can be written as 2 × 141.	4512 2 2256 1128 2 564 282 2 141 2 2
141 can be written as 3 × 47.	4512 2 2256 1128 2 564 282 2 141 47 3 2 2
The end nodes are the prime factors of the number 4512.	4512 2 2256 1128 2 564 282 2 141 47 3 2 2

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Find the prime factorization of number 4512.

The prime factorization of 4512 is:4512=2⋅2⋅2⋅2⋅2⋅3⋅47 Which is the same as :4512=25⋅3⋅47

The prime factorization of 4512 is:
$4512 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 47$
Which is the same as :
$4512 = 2^{5} \cdot 3 \cdot 47$