Question
Find the prime factorization of number 322624.
Answer
The prime factorization of 322624 is:
$$ 322624 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot71\cdot71 $$Which is the same as :
$$ 322624 = 2^{6}\cdot71^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 322624 can be written as 2 × 161312. |
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| 161312 can be written as 2 × 80656. |
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| 80656 can be written as 2 × 40328. |
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| 40328 can be written as 2 × 20164. |
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| 20164 can be written as 2 × 10082. |
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| 10082 can be written as 2 × 5041. |
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| 5041 can be written as 71 × 71. |
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| The end nodes are the prime factors of the number 322624. |
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