Find the prime factorization of number 78012.
Answer
The prime factorization of 78012 is:
$$ 78012 = 2\cdot2\cdot3\cdot3\cdot11\cdot197 $$Which is the same as :
$$ 78012 = 2^{2}\cdot3^{2}\cdot11\cdot197 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 78012 can be written as 2 × 39006. |
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| 39006 can be written as 2 × 19503. |
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| 19503 can be written as 3 × 6501. |
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| 6501 can be written as 3 × 2167. |
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| 2167 can be written as 11 × 197. |
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| The end nodes are the prime factors of the number 78012. |
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