Question
Find the prime factorization of number 336408.
Answer
The prime factorization of 336408 is:
$$ 336408 = 2\cdot2\cdot2\cdot3\cdot107\cdot131 $$Which is the same as :
$$ 336408 = 2^{3}\cdot3\cdot107\cdot131 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 336408 can be written as 2 × 168204. |
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| 168204 can be written as 2 × 84102. |
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| 84102 can be written as 2 × 42051. |
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| 42051 can be written as 3 × 14017. |
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| 14017 can be written as 107 × 131. |
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| The end nodes are the prime factors of the number 336408. |
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