Find the prime factorization of number 2600.
Answer
The prime factorization of 2600 is:
$$ 2600 = 2\cdot2\cdot2\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 2600 = 2^{3}\cdot5^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2600 can be written as 10 × 260. |
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| 10 can be written as 2 × 5. |
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| 260 can be written as 10 × 26. |
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| 10 can be written as 2 × 5. |
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| 26 can be written as 2 × 13. |
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| The end nodes are the prime factors of the number 2600. |
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