Question
Find the prime factorization of number 449598240.
Answer
The prime factorization of 449598240 is:
$$ 449598240 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot13\cdot47\cdot73 $$Which is the same as :
$$ 449598240 = 2^{5}\cdot3^{2}\cdot5\cdot7\cdot13\cdot47\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 449598240 can be written as 10 × 44959824. |
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| 10 can be written as 2 × 5. |
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| 44959824 can be written as 2 × 22479912. |
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| 22479912 can be written as 2 × 11239956. |
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| 11239956 can be written as 2 × 5619978. |
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| 5619978 can be written as 2 × 2809989. |
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| 2809989 can be written as 3 × 936663. |
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| 936663 can be written as 3 × 312221. |
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| 312221 can be written as 7 × 44603. |
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| 44603 can be written as 13 × 3431. |
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| 3431 can be written as 47 × 73. |
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| The end nodes are the prime factors of the number 449598240. |
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