Question
Find the prime factorization of number 444444.
Answer
The prime factorization of 444444 is:
$$ 444444 = 2\cdot2\cdot3\cdot7\cdot11\cdot13\cdot37 $$Which is the same as :
$$ 444444 = 2^{2}\cdot3\cdot7\cdot11\cdot13\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 444444 can be written as 2 × 222222. |
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| 222222 can be written as 2 × 111111. |
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| 111111 can be written as 3 × 37037. |
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| 37037 can be written as 7 × 5291. |
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| 5291 can be written as 11 × 481. |
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| 481 can be written as 13 × 37. |
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| The end nodes are the prime factors of the number 444444. |
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