Question
Find the prime factorization of number 55440.
Answer
The prime factorization of 55440 is:
$$ 55440 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot11 $$Which is the same as :
$$ 55440 = 2^{4}\cdot3^{2}\cdot5\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 55440 can be written as 10 × 5544. |
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| 10 can be written as 2 × 5. |
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| 5544 can be written as 2 × 2772. |
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| 2772 can be written as 2 × 1386. |
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| 1386 can be written as 2 × 693. |
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| 693 can be written as 3 × 231. |
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| 231 can be written as 3 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 55440. |
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