Question
Find the prime factorization of number 745280.
Answer
The prime factorization of 745280 is:
$$ 745280 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot17\cdot137 $$Which is the same as :
$$ 745280 = 2^{6}\cdot5\cdot17\cdot137 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 745280 can be written as 10 × 74528. |
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| 10 can be written as 2 × 5. |
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| 74528 can be written as 2 × 37264. |
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| 37264 can be written as 2 × 18632. |
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| 18632 can be written as 2 × 9316. |
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| 9316 can be written as 2 × 4658. |
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| 4658 can be written as 2 × 2329. |
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| 2329 can be written as 17 × 137. |
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| The end nodes are the prime factors of the number 745280. |
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