michellexyoung2010
Answered

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select all the numbers between 80 and 100 that have exactly 4 factors, one of which is 5.
80
85
90
95
100

Sagot :

Answer:

90.

Step-by-step explanation:

Here 5 is one of the 4 prime factors, so dividing the lower (80) and upper limit (100) by 5 we have new lower limit 16 and new upper limit 20.

So the product of other 3 factors should be greater than 16 and less than 20. And we can have it from 18 only. Hence the number is 90.

The numbers between 80 and 100 having factor 5 are

80,  85, 90, 95, 100

16 = [tex]2^{4}[/tex]

17 = 17

18 = 2× 3 × 3

19 = 19

20 = [tex]2^{2}[/tex] × 5

90 = 2 × [tex]3^{2}[/tex] × 5

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