Question
Find the prime factorization of number 6906900.
Answer
The prime factorization of 6906900 is:
$$ 6906900 = 2\cdot2\cdot3\cdot5\cdot5\cdot7\cdot11\cdot13\cdot23 $$Which is the same as :
$$ 6906900 = 2^{2}\cdot3\cdot5^{2}\cdot7\cdot11\cdot13\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6906900 can be written as 10 × 690690. |
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| 10 can be written as 2 × 5. |
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| 690690 can be written as 10 × 69069. |
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| 10 can be written as 2 × 5. |
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| 69069 can be written as 3 × 23023. |
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| 23023 can be written as 7 × 3289. |
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| 3289 can be written as 11 × 299. |
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| 299 can be written as 13 × 23. |
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| The end nodes are the prime factors of the number 6906900. |
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