Question
Find the prime factorization of number 40375.
Answer
The prime factorization of 40375 is:
$$ 40375 = 5\cdot5\cdot5\cdot17\cdot19 $$Which is the same as :
$$ 40375 = 5^{3}\cdot17\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 40375 can be written as 5 × 8075. |
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| 8075 can be written as 5 × 1615. |
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| 1615 can be written as 5 × 323. |
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| 323 can be written as 17 × 19. |
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| The end nodes are the prime factors of the number 40375. |
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