Question
Find the prime factorization of number 133980.
Answer
The prime factorization of 133980 is:
$$ 133980 = 2\cdot2\cdot3\cdot5\cdot7\cdot11\cdot29 $$Which is the same as :
$$ 133980 = 2^{2}\cdot3\cdot5\cdot7\cdot11\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 133980 can be written as 10 × 13398. |
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| 10 can be written as 2 × 5. |
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| 13398 can be written as 2 × 6699. |
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| 6699 can be written as 3 × 2233. |
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| 2233 can be written as 7 × 319. |
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| 319 can be written as 11 × 29. |
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| The end nodes are the prime factors of the number 133980. |
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