Question
Find the prime factorization of number 9964.
Answer
The prime factorization of 9964 is:
$$ 9964 = 2\cdot2\cdot47\cdot53 $$Which is the same as :
$$ 9964 = 2^{2}\cdot47\cdot53 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9964 can be written as 2 × 4982. |
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| 4982 can be written as 2 × 2491. |
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| 2491 can be written as 47 × 53. |
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| The end nodes are the prime factors of the number 9964. |
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