Question
Find the prime factorization of number 7582392.
Answer
The prime factorization of 7582392 is:
$$ 7582392 = 2\cdot2\cdot2\cdot3\cdot3\cdot53\cdot1987 $$Which is the same as :
$$ 7582392 = 2^{3}\cdot3^{2}\cdot53\cdot1987 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7582392 can be written as 2 × 3791196. |
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| 3791196 can be written as 2 × 1895598. |
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| 1895598 can be written as 2 × 947799. |
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| 947799 can be written as 3 × 315933. |
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| 315933 can be written as 3 × 105311. |
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| 105311 can be written as 53 × 1987. |
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| The end nodes are the prime factors of the number 7582392. |
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