1.
Clearly, 252 = 2 x 2 x 3 x 3 7.
2.
99 = 1 x 3 x 3 x 11; 101 = 1 x 101;
176= 1 x 2 x 2 x
2 x 2 x 11; 182 = 1 x 2 x 7 13.
So, divisors of 99 are 1, 3, 9, 33 and 99;
Divisors of 101 are 1 and 101;
Divisors of 176
are 1, 2, 4, 8, 16, 22, 44, 88 and 176;
Divisors of 182
are 1, 2, 7, 13, 14, 26, 91 and 182,
Hence, 176 has
the most number of divisors.
6 1, 2, 3 6
9
1,
3 4
15 1, 3, 5 9
21 1, 3, 7 11
Clearly, 6 is a perfect number
4. H.C.F. = product of lowest powers of common
factors = 2²
x 3²
x 5
5.
H.C.F. = product of lowest powers of common
factors =- 3 x 5 x 7 =105
6.
4 x 27 x 3125 = 2² x 3³x 5⁵; 8 x 9 x 25 x 7 =2³ x
3² x
5² x 7;
