Class VI ASSIGNMENT
Factors and multiples
SECTION –A
1.Find common factor of 20 and 28.
2.Find first two common multiples of 12 and 18.
3.Write all prime numbers between 70 and 90.
4.Check whether the given no is divisible by 6,7,11 or not
i)872536 ii) 25368 iii) 8790322
5.Check whether the following are prime number or not
i) 263 ii) 361
6.Reduce 289/391 to the lowest form
7.Can two number have 16 as their H.C.F and 204 as their L.C.M ? Give reason.
8.The product of two number is 48.Their sum is 19.What are the numbers?
9.Find two numbers whose difference is 2 and product is 24.
10.Find numbers between 1 and 100 having exactly three factors.
SECTION – B
11.Express the following as the sum of two odd primes
i)130 ii) 180
12.Express the following as the sum of three odd primes
i)31 ii) 49
13.Express the following as the sum of twice prime
i)84 ii) 36
14.Give the prime factorization of 20570
15.Find the H.C.F of 624,936,264 by division method.
16.Find H.C.F of 144,180,192 by prime factorization method.
17.Find the L.C.M by prime factorization method
112,168,266
18.A number is divisible by 12.By which other number will that number be always divisible ?
19.Find the smallest number having four different prime factors.
20.A number is divisible by both 5 and 12. By which number will that number be always divisible ?
21.Find the L.C.M by division method
12,15,20,27
22.The H.C.F of two number is 16 and their product is 3072.Find their L.C.M
SECTION – C
23.Find the greatest number which divides 285 and 1249 , leaving remainder
9 and 7 respectively.
24.Determine the longest tape which can be used to measure exactly the
length 7m, 3m85cm,12m95cm
25.Two tankers contains 850 litres l and 680 litres of petrol respectively. Find
the maximum capacity of a container which can measure the petrol of
either tanker in exact number of times.
26.In a seminar , the number of participants in Hindi, English and
Mathematics are 60 , 84 and 108 respectively. Find the minimum number
of rooms required if each room the same number of participants are to be
seated and all of them being in the same subject.
27.Find the greatest number of six digit exactly divisible by 24,15 and 36.
28.Four bells toll at intervals of 4,7,12 an 84 seconds. The bell toll together at
5’ o clock . When will they again toll together ? How many times will they
do it in 28 minutes.
29.In a shop, there are three clocks which chime at intervals of 15,20,30
minutes respectively. They are chime together at 10 am. At what time will
they all chime together again ?
30.The circumference of four wheels are 50cm,60cm,75cm and 100cm. They
start moving simultaneously . What least distance should they cover so
that each wheel makes a complete number of revolutions?
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