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How many factors of 587042640 are perfect squares?

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How many factors of 587042640 are perfect squares?
posted Apr 12, 2019 by Balwinder

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1 Answer

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587042640 = 2^2*2^2*3^2*3^2*5*17*73^2
Squares of 2, 2, 3, 3, 73 and their combination:
1. 2^2
2. 3^2
3. (2*2)^2
4. (2*3)^2
5. (3*3)^2
6. (2*2*3)^2
7. (2*3*3)^2
8. (2*2*3*3)^2
9. 73^2
9. (2*73)2
10. (3*73)^2
11. (2*2*73)^2
12. (3*3*73)^2
14. (2*3*73)^2
15. (2*2*3*73)^2
16. (2*3*3*73)^2
17. (2*2*3*3*73)^2

answer Apr 12, 2019 by Hanifa Mammadov
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