Question
Find the prime factorization of number 352560.
Answer
The prime factorization of 352560 is:
$$ 352560 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot13\cdot113 $$Which is the same as :
$$ 352560 = 2^{4}\cdot3\cdot5\cdot13\cdot113 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 352560 can be written as 10 × 35256. |
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| 10 can be written as 2 × 5. |
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| 35256 can be written as 2 × 17628. |
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| 17628 can be written as 2 × 8814. |
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| 8814 can be written as 2 × 4407. |
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| 4407 can be written as 3 × 1469. |
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| 1469 can be written as 13 × 113. |
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| The end nodes are the prime factors of the number 352560. |
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