Question
Find the prime factorization of number 1111968.
Answer
The prime factorization of 1111968 is:
$$ 1111968 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot11\cdot13 $$Which is the same as :
$$ 1111968 = 2^{5}\cdot3^{5}\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1111968 can be written as 2 × 555984. |
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| 555984 can be written as 2 × 277992. |
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| 277992 can be written as 2 × 138996. |
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| 138996 can be written as 2 × 69498. |
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| 69498 can be written as 2 × 34749. |
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| 34749 can be written as 3 × 11583. |
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| 11583 can be written as 3 × 3861. |
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| 3861 can be written as 3 × 1287. |
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| 1287 can be written as 3 × 429. |
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| 429 can be written as 3 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 1111968. |
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