Find the prime factorization of number 6825.
Answer
The prime factorization of 6825 is:
$$ 6825 = 3\cdot5\cdot5\cdot7\cdot13 $$Which is the same as :
$$ 6825 = 3\cdot5^{2}\cdot7\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6825 can be written as 5 × 1365. |
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| 1365 can be written as 5 × 273. |
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| 273 can be written as 3 × 91. |
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| 91 can be written as 7 × 13. |
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| The end nodes are the prime factors of the number 6825. |
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