Question
Find the prime factorization of number 5152.
Answer
The prime factorization of 5152 is:
$$ 5152 = 2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot23 $$Which is the same as :
$$ 5152 = 2^{5}\cdot7\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5152 can be written as 2 × 2576. |
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| 2576 can be written as 2 × 1288. |
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| 1288 can be written as 2 × 644. |
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| 644 can be written as 2 × 322. |
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| 322 can be written as 2 × 161. |
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| 161 can be written as 7 × 23. |
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| The end nodes are the prime factors of the number 5152. |
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