Question
Find the prime factorization of number 29000.
Answer
The prime factorization of 29000 is:
$$ 29000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot29 $$Which is the same as :
$$ 29000 = 2^{3}\cdot5^{3}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 29000 can be written as 10 × 2900. |
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| 10 can be written as 2 × 5. |
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| 2900 can be written as 10 × 290. |
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| 10 can be written as 2 × 5. |
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| 290 can be written as 10 × 29. |
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| 10 can be written as 2 × 5. |
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| The end nodes are the prime factors of the number 29000. |
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