Question
Find the prime factorization of number 62400.
Answer
The prime factorization of 62400 is:
$$ 62400 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 62400 = 2^{6}\cdot3\cdot5^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 62400 can be written as 10 × 6240. |
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| 10 can be written as 2 × 5. |
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| 6240 can be written as 10 × 624. |
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| 10 can be written as 2 × 5. |
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| 624 can be written as 2 × 312. |
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| 312 can be written as 2 × 156. |
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| 156 can be written as 2 × 78. |
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| 78 can be written as 2 × 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 62400. |
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