Question
Find the prime factorization of number 32242.
Answer
The prime factorization of 32242 is:
$$ 32242 = 2\cdot7\cdot7\cdot7\cdot47 $$Which is the same as :
$$ 32242 = 2\cdot7^{3}\cdot47 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 32242 can be written as 2 × 16121. |
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| 16121 can be written as 7 × 2303. |
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| 2303 can be written as 7 × 329. |
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| 329 can be written as 7 × 47. |
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| The end nodes are the prime factors of the number 32242. |
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