Question
Find the prime factorization of number 3480.
Answer
The prime factorization of 3480 is:
$$ 3480 = 2\cdot2\cdot2\cdot3\cdot5\cdot29 $$Which is the same as :
$$ 3480 = 2^{3}\cdot3\cdot5\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3480 can be written as 10 × 348. |
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| 10 can be written as 2 × 5. |
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| 348 can be written as 2 × 174. |
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| 174 can be written as 2 × 87. |
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| 87 can be written as 3 × 29. |
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| The end nodes are the prime factors of the number 3480. |
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