Find the prime factorization of number 735.
Answer
The prime factorization of 735 is:
$$ 735 = 3\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 735 = 3\cdot5\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 735 can be written as 5 × 147. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 735. |
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