Question
Find the prime factorization of number 968.
Answer
The prime factorization of 968 is:
$$ 968 = 2\cdot2\cdot2\cdot11\cdot11 $$Which is the same as :
$$ 968 = 2^{3}\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 968 can be written as 2 × 484. |
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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 968. |
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