Question
Find the prime factorization of number 3515956080.
Answer
The prime factorization of 3515956080 is:
$$ 3515956080 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot7\cdot13\cdot19\cdot37\cdot229 $$Which is the same as :
$$ 3515956080 = 2^{4}\cdot3\cdot5\cdot7\cdot13\cdot19\cdot37\cdot229 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3515956080 can be written as 10 × 351595608. |
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| 10 can be written as 2 × 5. |
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| 351595608 can be written as 2 × 175797804. |
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| 175797804 can be written as 2 × 87898902. |
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| 87898902 can be written as 2 × 43949451. |
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| 43949451 can be written as 3 × 14649817. |
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| 14649817 can be written as 7 × 2092831. |
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| 2092831 can be written as 13 × 160987. |
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| 160987 can be written as 19 × 8473. |
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| 8473 can be written as 37 × 229. |
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| The end nodes are the prime factors of the number 3515956080. |
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