Find the prime factorization of number 66900.
Answer
The prime factorization of 66900 is:
$$ 66900 = 2\cdot2\cdot3\cdot5\cdot5\cdot223 $$Which is the same as :
$$ 66900 = 2^{2}\cdot3\cdot5^{2}\cdot223 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 66900 can be written as 10 × 6690. |
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| 10 can be written as 2 × 5. |
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| 6690 can be written as 10 × 669. |
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| 10 can be written as 2 × 5. |
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| 669 can be written as 3 × 223. |
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| The end nodes are the prime factors of the number 66900. |
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