Question
Find the prime factorization of number 4900.
Answer
The prime factorization of 4900 is:
$$ 4900 = 2\cdot2\cdot5\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 4900 = 2^{2}\cdot5^{2}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4900 can be written as 10 × 490. |
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| 10 can be written as 2 × 5. |
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| 490 can be written as 10 × 49. |
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| 10 can be written as 2 × 5. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 4900. |
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