Question
Find the prime factorization of number 153664.
Answer
The prime factorization of 153664 is:
$$ 153664 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 153664 = 2^{6}\cdot7^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 153664 can be written as 2 × 76832. |
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| 76832 can be written as 2 × 38416. |
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| 38416 can be written as 2 × 19208. |
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| 19208 can be written as 2 × 9604. |
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| 9604 can be written as 2 × 4802. |
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| 4802 can be written as 2 × 2401. |
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| 2401 can be written as 7 × 343. |
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| 343 can be written as 7 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 153664. |
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