Question
Find the prime factorization of number 40628.
Answer
The prime factorization of 40628 is:
$$ 40628 = 2\cdot2\cdot7\cdot1451 $$Which is the same as :
$$ 40628 = 2^{2}\cdot7\cdot1451 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 40628 can be written as 2 × 20314. |
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| 20314 can be written as 2 × 10157. |
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| 10157 can be written as 7 × 1451. |
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| The end nodes are the prime factors of the number 40628. |
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