Question
Find the prime factorization of number 151203969.
Answer
The prime factorization of 151203969 is:
$$ 151203969 = 3\cdot3\cdot3\cdot7\cdot89\cdot89\cdot101 $$Which is the same as :
$$ 151203969 = 3^{3}\cdot7\cdot89^{2}\cdot101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 151203969 can be written as 3 × 50401323. |
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| 50401323 can be written as 3 × 16800441. |
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| 16800441 can be written as 3 × 5600147. |
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| 5600147 can be written as 7 × 800021. |
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| 800021 can be written as 89 × 8989. |
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| 8989 can be written as 89 × 101. |
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| The end nodes are the prime factors of the number 151203969. |
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