Find the prime factorization of number 27216.

Answer

The prime factorization of 27216 is:

$$ 27216 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot7 $$

Which is the same as :

$$ 27216 = 2^{4}\cdot3^{5}\cdot7 $$

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

27216 can be written as 2 × 13608.	27216 2 13608
13608 can be written as 2 × 6804.	27216 2 13608 6804 2
6804 can be written as 2 × 3402.	27216 2 13608 6804 2 3402 2
3402 can be written as 2 × 1701.	27216 2 13608 6804 2 3402 1701 2 2
1701 can be written as 3 × 567.	27216 2 13608 6804 2 3402 1701 3 567 2 2
567 can be written as 3 × 189.	27216 2 13608 6804 2 3402 1701 3 567 189 3 2 2
189 can be written as 3 × 63.	27216 2 13608 6804 2 3402 1701 3 567 189 3 63 3 2 2
63 can be written as 3 × 21.	27216 2 13608 6804 2 3402 1701 3 567 189 3 63 21 3 3 2 2
21 can be written as 3 × 7.	27216 2 13608 6804 2 3402 1701 3 567 189 3 63 21 3 7 3 3 2 2
The end nodes are the prime factors of the number 27216.	27216 2 13608 6804 2 3402 1701 3 567 189 3 63 21 3 7 3 3 2 2

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