Question
Find the prime factorization of number 30544.
Answer
The prime factorization of 30544 is:
$$ 30544 = 2\cdot2\cdot2\cdot2\cdot23\cdot83 $$Which is the same as :
$$ 30544 = 2^{4}\cdot23\cdot83 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30544 can be written as 2 × 15272. |
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| 15272 can be written as 2 × 7636. |
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| 7636 can be written as 2 × 3818. |
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| 3818 can be written as 2 × 1909. |
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| 1909 can be written as 23 × 83. |
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| The end nodes are the prime factors of the number 30544. |
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