Find the prime factorization of number 788544.
Answer
The prime factorization of 788544 is:
$$ 788544 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot37\cdot37 $$Which is the same as :
$$ 788544 = 2^{6}\cdot3^{2}\cdot37^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 788544 can be written as 2 × 394272. |
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| 394272 can be written as 2 × 197136. |
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| 197136 can be written as 2 × 98568. |
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| 98568 can be written as 2 × 49284. |
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| 49284 can be written as 2 × 24642. |
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| 24642 can be written as 2 × 12321. |
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| 12321 can be written as 3 × 4107. |
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| 4107 can be written as 3 × 1369. |
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| 1369 can be written as 37 × 37. |
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| The end nodes are the prime factors of the number 788544. |
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