1.The
number of prime factors in expression 214´ 276´108´1210 is?
a)48 b) 64 c)
72 d) 80
2.Find
the total number of prime numbers contained in (18)13´(15)21´(86)7?
a)95 b) 83 c)
82 d) 80
3.The
least number by which 37 x 74 x 13 has to multiplied to
make it a perfect square is
a)3 b)11 c)39 d)31
4.Find
the least number by which 2800 be multiplied or divided to make it a perfect
square.
a) 7 b) 10 c)5 d)
14
5.What
is the smallest number that should multiply 2520 to make it a perfect square?
a)10 b)30 c)35 d)70
6.Find the smallest number with which we should divide
3240 to get a perfect square?
a)10 b)20 c)18 d)24
7.2016
divided by which of the following numbers gives a perfect square?
a)9 b)4 c)8 d)14
8.If m and n are integers, and m2 =63n,
then n must be divisible by which of the following?
a)5 b)2 c)7 d)9
9.Find the smallest
number by which 4320 bemultiplied to make it a perfect cube?
a)
50 b)25 c)6 d)30
10.The
smallest number by which 3600 can be divided to make it a perfect cube is
a)27 b)450 c)900 d)1200
11.The
number of divisors excluding 1 and itself of the number 8625 is:
a) 15 b) 14 c)
12 d) 13
12.Find
the number of divisors of 12600 excluding 1 and itself?
a)15 b)70 c)68 d)72
13.If N
= P x Q x Q x R, where P, Q, and R are
distinct prime numbers, then how many factors does N have?
a)4 b)10 c)12 d)8
14.Find
the number of factors of 3600?
a)45 b)48 c)64 d)36
15.Find
the number of odd factors of 240?
a)4 b)6 c)8 d)5
16.How many factors of 1440 are odd integers?
a) 6 b)8 c)4 d)12
17.Find
the number of even factors of 520?
a)8 b)10 c)11 d)12
18.How many factors of
21600 are even integers?
a)60 b)42 c)72 d)80
19.Find the sum of the factors of 270?
a)680 b)720 c)840 d)920
20.Find the sum of the factors of 240?
a)720 b)744 c)780 d)840
21.The sum of the factors of 1520 except unity and itself is
a)2199 b)3720 c)2200 d)3719
22.Find the product of factors of 360?
a)36120 b)36012 c)18024 d)None
23.Find the product of factors of 144?
a)1215 b)14415 c)7230 d)None
