Find the prime factorization of number 1664.
Answer
The prime factorization of 1664 is:
$$ 1664 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot13 $$Which is the same as :
$$ 1664 = 2^{7}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1664 can be written as 2 × 832. |
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| 832 can be written as 2 × 416. |
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| 416 can be written as 2 × 208. |
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| 208 can be written as 2 × 104. |
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| 104 can be written as 2 × 52. |
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| 52 can be written as 2 × 26. |
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| 26 can be written as 2 × 13. |
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| The end nodes are the prime factors of the number 1664. |
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