Question
Find the prime factorization of number 145544.
Answer
The prime factorization of 145544 is:
$$ 145544 = 2\cdot2\cdot2\cdot7\cdot23\cdot113 $$Which is the same as :
$$ 145544 = 2^{3}\cdot7\cdot23\cdot113 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 145544 can be written as 2 × 72772. |
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| 72772 can be written as 2 × 36386. |
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| 36386 can be written as 2 × 18193. |
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| 18193 can be written as 7 × 2599. |
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| 2599 can be written as 23 × 113. |
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| The end nodes are the prime factors of the number 145544. |
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