Question
Find the prime factorization of number 30744.
Answer
The prime factorization of 30744 is:
$$ 30744 = 2\cdot2\cdot2\cdot3\cdot3\cdot7\cdot61 $$Which is the same as :
$$ 30744 = 2^{3}\cdot3^{2}\cdot7\cdot61 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30744 can be written as 2 × 15372. |
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| 15372 can be written as 2 × 7686. |
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| 7686 can be written as 2 × 3843. |
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| 3843 can be written as 3 × 1281. |
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| 1281 can be written as 3 × 427. |
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| 427 can be written as 7 × 61. |
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| The end nodes are the prime factors of the number 30744. |
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