Question
Find the prime factorization of number 367650.
Answer
The prime factorization of 367650 is:
$$ 367650 = 2\cdot3\cdot3\cdot5\cdot5\cdot19\cdot43 $$Which is the same as :
$$ 367650 = 2\cdot3^{2}\cdot5^{2}\cdot19\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 367650 can be written as 10 × 36765. |
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| 10 can be written as 2 × 5. |
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| 36765 can be written as 5 × 7353. |
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| 7353 can be written as 3 × 2451. |
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| 2451 can be written as 3 × 817. |
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| 817 can be written as 19 × 43. |
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| The end nodes are the prime factors of the number 367650. |
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