Find the prime factorization of number 143000.
Answer
The prime factorization of 143000 is:
$$ 143000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot11\cdot13 $$Which is the same as :
$$ 143000 = 2^{3}\cdot5^{3}\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 143000 can be written as 10 × 14300. |
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| 10 can be written as 2 × 5. |
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| 14300 can be written as 10 × 1430. |
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| 10 can be written as 2 × 5. |
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| 1430 can be written as 10 × 143. |
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| 10 can be written as 2 × 5. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 143000. |
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