Question
Find the prime factorization of number 265720.
Answer
The prime factorization of 265720 is:
$$ 265720 = 2\cdot2\cdot2\cdot5\cdot7\cdot13\cdot73 $$Which is the same as :
$$ 265720 = 2^{3}\cdot5\cdot7\cdot13\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 265720 can be written as 10 × 26572. |
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| 10 can be written as 2 × 5. |
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| 26572 can be written as 2 × 13286. |
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| 13286 can be written as 2 × 6643. |
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| 6643 can be written as 7 × 949. |
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| 949 can be written as 13 × 73. |
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| The end nodes are the prime factors of the number 265720. |
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