Question
Find the prime factorization of number 360864.
Answer
The prime factorization of 360864 is:
$$ 360864 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot7\cdot179 $$Which is the same as :
$$ 360864 = 2^{5}\cdot3^{2}\cdot7\cdot179 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 360864 can be written as 2 × 180432. |
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| 180432 can be written as 2 × 90216. |
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| 90216 can be written as 2 × 45108. |
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| 45108 can be written as 2 × 22554. |
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| 22554 can be written as 2 × 11277. |
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| 11277 can be written as 3 × 3759. |
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| 3759 can be written as 3 × 1253. |
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| 1253 can be written as 7 × 179. |
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| The end nodes are the prime factors of the number 360864. |
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