Question
Find the prime factorization of number 1989.
Answer
The prime factorization of 1989 is:
$$ 1989 = 3\cdot3\cdot13\cdot17 $$Which is the same as :
$$ 1989 = 3^{2}\cdot13\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1989 can be written as 3 × 663. |
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| 663 can be written as 3 × 221. |
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| 221 can be written as 13 × 17. |
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| The end nodes are the prime factors of the number 1989. |
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