Find the prime factorization of number 40.
Answer
The prime factorization of 40 is:
$$ 40 = 2\cdot2\cdot2\cdot5 $$Which is the same as :
$$ 40 = 2^{3}\cdot5 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 40 can be written as 10 × 4. |
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| 10 can be written as 2 × 5. |
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| 4 can be written as 2 × 2. |
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| The end nodes are the prime factors of the number 40. |
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