Question
Find the prime factorization of number 764000.
Answer
The prime factorization of 764000 is:
$$ 764000 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot191 $$Which is the same as :
$$ 764000 = 2^{5}\cdot5^{3}\cdot191 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 764000 can be written as 10 × 76400. |
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| 10 can be written as 2 × 5. |
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| 76400 can be written as 10 × 7640. |
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| 10 can be written as 2 × 5. |
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| 7640 can be written as 10 × 764. |
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| 10 can be written as 2 × 5. |
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| 764 can be written as 2 × 382. |
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| 382 can be written as 2 × 191. |
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| The end nodes are the prime factors of the number 764000. |
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