Question
Find the prime factorization of number 4840.
Answer
The prime factorization of 4840 is:
$$ 4840 = 2\cdot2\cdot2\cdot5\cdot11\cdot11 $$Which is the same as :
$$ 4840 = 2^{3}\cdot5\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4840 can be written as 10 × 484. |
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| 10 can be written as 2 × 5. |
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| 484 can be written as 2 × 242. |
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| 242 can be written as 2 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 4840. |
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