Question
Find the prime factorization of number 3536.
Answer
The prime factorization of 3536 is:
$$ 3536 = 2\cdot2\cdot2\cdot2\cdot13\cdot17 $$Which is the same as :
$$ 3536 = 2^{4}\cdot13\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3536 can be written as 2 × 1768. |
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| 1768 can be written as 2 × 884. |
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| 884 can be written as 2 × 442. |
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| 442 can be written as 2 × 221. |
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| 221 can be written as 13 × 17. |
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| The end nodes are the prime factors of the number 3536. |
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