Question
Find the prime factorization of number 24420500.
Answer
The prime factorization of 24420500 is:
$$ 24420500 = 2\cdot2\cdot5\cdot5\cdot5\cdot13\cdot13\cdot17\cdot17 $$Which is the same as :
$$ 24420500 = 2^{2}\cdot5^{3}\cdot13^{2}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 24420500 can be written as 10 × 2442050. |
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| 10 can be written as 2 × 5. |
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| 2442050 can be written as 10 × 244205. |
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| 10 can be written as 2 × 5. |
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| 244205 can be written as 5 × 48841. |
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| 48841 can be written as 13 × 3757. |
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| 3757 can be written as 13 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 24420500. |
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