Question
Find the prime factorization of number 5264.
Answer
The prime factorization of 5264 is:
$$ 5264 = 2\cdot2\cdot2\cdot2\cdot7\cdot47 $$Which is the same as :
$$ 5264 = 2^{4}\cdot7\cdot47 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5264 can be written as 2 × 2632. |
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| 2632 can be written as 2 × 1316. |
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| 1316 can be written as 2 × 658. |
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| 658 can be written as 2 × 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 5264. |
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