Question
Find the prime factorization of number 7865.
Answer
The prime factorization of 7865 is:
$$ 7865 = 5\cdot11\cdot11\cdot13 $$Which is the same as :
$$ 7865 = 5\cdot11^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7865 can be written as 5 × 1573. |
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| 1573 can be written as 11 × 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 7865. |
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