Question
Find the prime factorization of number 101640.
Answer
The prime factorization of 101640 is:
$$ 101640 = 2\cdot2\cdot2\cdot3\cdot5\cdot7\cdot11\cdot11 $$Which is the same as :
$$ 101640 = 2^{3}\cdot3\cdot5\cdot7\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 101640 can be written as 10 × 10164. |
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| 10 can be written as 2 × 5. |
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| 10164 can be written as 2 × 5082. |
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| 5082 can be written as 2 × 2541. |
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| 2541 can be written as 3 × 847. |
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| 847 can be written as 7 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 101640. |
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