Question
Find the prime factorization of number 3440495968.
Answer
The prime factorization of 3440495968 is:
$$ 3440495968 = 2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot13\cdot29\cdot131\cdot311 $$Which is the same as :
$$ 3440495968 = 2^{5}\cdot7\cdot13\cdot29\cdot131\cdot311 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3440495968 can be written as 2 × 1720247984. |
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| 1720247984 can be written as 2 × 860123992. |
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| 860123992 can be written as 2 × 430061996. |
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| 430061996 can be written as 2 × 215030998. |
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| 215030998 can be written as 2 × 107515499. |
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| 107515499 can be written as 7 × 15359357. |
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| 15359357 can be written as 13 × 1181489. |
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| 1181489 can be written as 29 × 40741. |
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| 40741 can be written as 131 × 311. |
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| The end nodes are the prime factors of the number 3440495968. |
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