Question
Find the prime factorization of number 3515956320.
Answer
The prime factorization of 3515956320 is:
$$ 3515956320 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot17\cdot59\cdot67\cdot109 $$Which is the same as :
$$ 3515956320 = 2^{5}\cdot3\cdot5\cdot17\cdot59\cdot67\cdot109 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3515956320 can be written as 10 × 351595632. |
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| 10 can be written as 2 × 5. |
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| 351595632 can be written as 2 × 175797816. |
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| 175797816 can be written as 2 × 87898908. |
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| 87898908 can be written as 2 × 43949454. |
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| 43949454 can be written as 2 × 21974727. |
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| 21974727 can be written as 3 × 7324909. |
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| 7324909 can be written as 17 × 430877. |
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| 430877 can be written as 59 × 7303. |
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| 7303 can be written as 67 × 109. |
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| The end nodes are the prime factors of the number 3515956320. |
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