Question
Find the prime factorization of number 30888.
Answer
The prime factorization of 30888 is:
$$ 30888 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot11\cdot13 $$Which is the same as :
$$ 30888 = 2^{3}\cdot3^{3}\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30888 can be written as 2 × 15444. |
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| 15444 can be written as 2 × 7722. |
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| 7722 can be written as 2 × 3861. |
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| 3861 can be written as 3 × 1287. |
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| 1287 can be written as 3 × 429. |
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| 429 can be written as 3 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 30888. |
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