Question
Find the prime factorization of number 1624350.
Answer
The prime factorization of 1624350 is:
$$ 1624350 = 2\cdot3\cdot5\cdot5\cdot7\cdot7\cdot13\cdot17 $$Which is the same as :
$$ 1624350 = 2\cdot3\cdot5^{2}\cdot7^{2}\cdot13\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1624350 can be written as 10 × 162435. |
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| 10 can be written as 2 × 5. |
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| 162435 can be written as 5 × 32487. |
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| 32487 can be written as 3 × 10829. |
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| 10829 can be written as 7 × 1547. |
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| 1547 can be written as 7 × 221. |
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| 221 can be written as 13 × 17. |
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| The end nodes are the prime factors of the number 1624350. |
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