Question
Find the prime factorization of number 13425.
Answer
The prime factorization of 13425 is:
$$ 13425 = 3\cdot5\cdot5\cdot179 $$Which is the same as :
$$ 13425 = 3\cdot5^{2}\cdot179 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 13425 can be written as 5 × 2685. |
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| 2685 can be written as 5 × 537. |
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| 537 can be written as 3 × 179. |
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| The end nodes are the prime factors of the number 13425. |
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