Question
Find the prime factorization of number 453069750.
Answer
The prime factorization of 453069750 is:
$$ 453069750 = 2\cdot3\cdot5\cdot5\cdot5\cdot7\cdot211\cdot409 $$Which is the same as :
$$ 453069750 = 2\cdot3\cdot5^{3}\cdot7\cdot211\cdot409 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 453069750 can be written as 10 × 45306975. |
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| 10 can be written as 2 × 5. |
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| 45306975 can be written as 5 × 9061395. |
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| 9061395 can be written as 5 × 1812279. |
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| 1812279 can be written as 3 × 604093. |
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| 604093 can be written as 7 × 86299. |
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| 86299 can be written as 211 × 409. |
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| The end nodes are the prime factors of the number 453069750. |
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