Question
Find the prime factorization of number 163404.
Answer
The prime factorization of 163404 is:
$$ 163404 = 2\cdot2\cdot3\cdot3\cdot3\cdot17\cdot89 $$Which is the same as :
$$ 163404 = 2^{2}\cdot3^{3}\cdot17\cdot89 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 163404 can be written as 2 × 81702. |
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| 81702 can be written as 2 × 40851. |
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| 40851 can be written as 3 × 13617. |
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| 13617 can be written as 3 × 4539. |
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| 4539 can be written as 3 × 1513. |
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| 1513 can be written as 17 × 89. |
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| The end nodes are the prime factors of the number 163404. |
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