Question
Find the prime factorization of number 404532544.
Answer
The prime factorization of 404532544 is:
$$ 404532544 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot13\cdot17\cdot37\cdot773 $$Which is the same as :
$$ 404532544 = 2^{6}\cdot13\cdot17\cdot37\cdot773 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 404532544 can be written as 2 × 202266272. |
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| 202266272 can be written as 2 × 101133136. |
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| 101133136 can be written as 2 × 50566568. |
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| 50566568 can be written as 2 × 25283284. |
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| 25283284 can be written as 2 × 12641642. |
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| 12641642 can be written as 2 × 6320821. |
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| 6320821 can be written as 13 × 486217. |
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| 486217 can be written as 17 × 28601. |
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| 28601 can be written as 37 × 773. |
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| The end nodes are the prime factors of the number 404532544. |
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