Question
Find the prime factorization of number 2964500.
Answer
The prime factorization of 2964500 is:
$$ 2964500 = 2\cdot2\cdot5\cdot5\cdot5\cdot7\cdot7\cdot11\cdot11 $$Which is the same as :
$$ 2964500 = 2^{2}\cdot5^{3}\cdot7^{2}\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2964500 can be written as 10 × 296450. |
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| 10 can be written as 2 × 5. |
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| 296450 can be written as 10 × 29645. |
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| 10 can be written as 2 × 5. |
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| 29645 can be written as 5 × 5929. |
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| 5929 can be written as 7 × 847. |
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| 847 can be written as 7 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 2964500. |
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