Question
Find the prime factorization of number 5480.
Answer
The prime factorization of 5480 is:
$$ 5480 = 2\cdot2\cdot2\cdot5\cdot137 $$Which is the same as :
$$ 5480 = 2^{3}\cdot5\cdot137 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5480 can be written as 10 × 548. |
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| 10 can be written as 2 × 5. |
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| 548 can be written as 2 × 274. |
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| 274 can be written as 2 × 137. |
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| The end nodes are the prime factors of the number 5480. |
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