Question
Find the prime factorization of number 15472.
Answer
The prime factorization of 15472 is:
$$ 15472 = 2\cdot2\cdot2\cdot2\cdot967 $$Which is the same as :
$$ 15472 = 2^{4}\cdot967 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 15472 can be written as 2 × 7736. |
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| 7736 can be written as 2 × 3868. |
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| 3868 can be written as 2 × 1934. |
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| 1934 can be written as 2 × 967. |
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| The end nodes are the prime factors of the number 15472. |
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