Find the prime factorization of number 4736.
Answer
The prime factorization of 4736 is:
$$ 4736 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot37 $$Which is the same as :
$$ 4736 = 2^{7}\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4736 can be written as 2 × 2368. |
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| 2368 can be written as 2 × 1184. |
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| 1184 can be written as 2 × 592. |
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| 592 can be written as 2 × 296. |
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| 296 can be written as 2 × 148. |
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| 148 can be written as 2 × 74. |
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| 74 can be written as 2 × 37. |
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| The end nodes are the prime factors of the number 4736. |
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