Question
Find the prime factorization of number 1352.
Answer
The prime factorization of 1352 is:
$$ 1352 = 2\cdot2\cdot2\cdot13\cdot13 $$Which is the same as :
$$ 1352 = 2^{3}\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1352 can be written as 2 × 676. |
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| 676 can be written as 2 × 338. |
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| 338 can be written as 2 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 1352. |
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