Question

how many factors of 729000 is divisible by 2 or 3 but not by 5 ?​

Answer 1

Answer:

364500 and 243000 and 145800

Answer 2

Given :  729000

To Find :  how many factors of 729000 is divisible by 2 or 3 but not by 5

Solution:

729000  = 2 * 2 * 2 * 3 * 3 * 3 * 3 * 3 * 3 * 5 * 5 * 5

= 2³ * 3⁶  * 5³

divisible by 2 or 3  but not by 5

(3 + 1)(6 + 1)  - 1  =  28  - 1  = 27    ( 1 is subtracted as these are total factors and contains 1 also a factor by 1 is not divisible by 2 or 3 )

27  factors of   729000  are divisible by 2 or 3   but not by 5

2 , 4 , 8 , 3 , 9 , 27 , 81 , 243 , 729      

6 , 18 , 54 , 162 , 486 , 1558  

12 , 36 , 108 , 324 , 972 , 2916  

24 , 92 , 216 ,  648 , 1944 ,   5832  

Total Factors 27 which are divisible by 2 or 3 but not by  5

Learn More:

Number of distinct prime factors in (729)^(2/5) X (4125)^(3/5) X (605 ...

https://brainly.in/question/10748135