Question
Find the prime factorization of number 140400.
Answer
The prime factorization of 140400 is:
$$ 140400 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 140400 = 2^{4}\cdot3^{3}\cdot5^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 140400 can be written as 10 × 14040. |
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| 10 can be written as 2 × 5. |
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| 14040 can be written as 10 × 1404. |
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| 10 can be written as 2 × 5. |
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| 1404 can be written as 2 × 702. |
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| 702 can be written as 2 × 351. |
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| 351 can be written as 3 × 117. |
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| 117 can be written as 3 × 39. |
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| 39 can be written as 3 × 13. |
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| The end nodes are the prime factors of the number 140400. |
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