Saved Bookmarks
| 1. |
The number of ways of factoring `91,000` into two factors m & n such that `m gt 1, n gt 1` and ged `(m,n) = 1` isA. `70`B. `15`C. `32`D. None of these |
|
Answer» Correct Answer - D `91000 = 13.7.1000 = 13.7.10^(3)` `:. 91000 = 2^(3).5^(3).13.7` `[{:(m=2^(a).5^(b).7^(c).13^(d)),(n=2^(p).5^(q).7^(r).13^(s)):}` gcd `(m,n) = 2^(@)5^(@)7^(@)13^(@)` `N = (2.2.2.2)/(2) - 1` (When `91,000` & 1) = 7` |
|