Question
Find the prime factorization of number 7425.
Answer
The prime factorization of 7425 is:
$$ 7425 = 3\cdot3\cdot3\cdot5\cdot5\cdot11 $$Which is the same as :
$$ 7425 = 3^{3}\cdot5^{2}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7425 can be written as 5 × 1485. |
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| 1485 can be written as 5 × 297. |
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| 297 can be written as 3 × 99. |
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| 99 can be written as 3 × 33. |
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| 33 can be written as 3 × 11. |
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| The end nodes are the prime factors of the number 7425. |
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