Question
Find the prime factorization of number 4725.
Answer
The prime factorization of 4725 is:
$$ 4725 = 3\cdot3\cdot3\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 4725 = 3^{3}\cdot5^{2}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4725 can be written as 5 × 945. |
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| 945 can be written as 5 × 189. |
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| 189 can be written as 3 × 63. |
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| 63 can be written as 3 × 21. |
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| 21 can be written as 3 × 7. |
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| The end nodes are the prime factors of the number 4725. |
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