Question
Find the prime factorization of number 1968480.
Answer
The prime factorization of 1968480 is:
$$ 1968480 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot1367 $$Which is the same as :
$$ 1968480 = 2^{5}\cdot3^{2}\cdot5\cdot1367 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1968480 can be written as 10 × 196848. |
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| 10 can be written as 2 × 5. |
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| 196848 can be written as 2 × 98424. |
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| 98424 can be written as 2 × 49212. |
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| 49212 can be written as 2 × 24606. |
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| 24606 can be written as 2 × 12303. |
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| 12303 can be written as 3 × 4101. |
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| 4101 can be written as 3 × 1367. |
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| The end nodes are the prime factors of the number 1968480. |
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