Find the prime factorization of number 531441.

Answer

The prime factorization of 531441 is:

$$ 531441 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3 $$

Which is the same as :

$$ 531441 = 3^{12} $$

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

531441 can be written as 3 × 177147.	531441 3 177147
177147 can be written as 3 × 59049.	531441 3 177147 59049 3
59049 can be written as 3 × 19683.	531441 3 177147 59049 3 19683 3
19683 can be written as 3 × 6561.	531441 3 177147 59049 3 19683 6561 3 3
6561 can be written as 3 × 2187.	531441 3 177147 59049 3 19683 6561 3 2187 3 3
2187 can be written as 3 × 729.	531441 3 177147 59049 3 19683 6561 3 2187 729 3 3 3
729 can be written as 3 × 243.	531441 3 177147 59049 3 19683 6561 3 2187 729 3 243 3 3 3
243 can be written as 3 × 81.	531441 3 177147 59049 3 19683 6561 3 2187 729 3 243 81 3 3 3 3
81 can be written as 3 × 27.	531441 3 177147 59049 3 19683 6561 3 2187 729 3 243 81 3 27 3 3 3 3
27 can be written as 3 × 9.	531441 3 177147 59049 3 19683 6561 3 2187 729 3 243 81 3 27 9 3 3 3 3 3
9 can be written as 3 × 3.	531441 3 177147 59049 3 19683 6561 3 2187 729 3 243 81 3 27 9 3 3 3 3 3 3 3
The end nodes are the prime factors of the number 531441.	531441 3 177147 59049 3 19683 6561 3 2187 729 3 243 81 3 27 9 3 3 3 3 3 3 3

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