Question
Find the prime factorization of number 4004.
Answer
The prime factorization of 4004 is:
$$ 4004 = 2\cdot2\cdot7\cdot11\cdot13 $$Which is the same as :
$$ 4004 = 2^{2}\cdot7\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4004 can be written as 2 × 2002. |
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| 2002 can be written as 2 × 1001. |
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| 1001 can be written as 7 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 4004. |
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