BHARTIYAM
INTERNATIONAL SCHOOL
Discover beyond ordinary…
Name:______________
Class: VI
Subject: MATHS
Ch-FACTORIZATION
Q1. Find the prime factorization of the following numbers:
i.36
ii. 42
iii. 390
v. 385
vi. 1260
vii. 1024
iv. 1540
viii. 2520
Q2. Find the HCF of the following numbers by prime factorization method:
i.4, 10
ii. 15, 20
iii. 96, 128
iv. 504, 980
v. 11, 13, 10
vi. 12, 18, 24
vii. 14, 49, 7
viii.36, 27, 45
Q3. Find the HCF of the following numbers by the division method:
i.103, 105
ii. 225, 450
iv. 144, 180, 384
v. 120, 144, 204
iii. 54, 108, 144
vi. 101, 573, 1079
Q4. Use the prime factorization method to find the LCM of the following groups:
i.4, 8, 16
ii. 6, 12, 18
iii. 12, 16, 20
iv. 24, 36
v. 12, 15
vi. 3, 4, 5
Q5. Find the LCM of the following:
i.22, 14, 126
ii. 50, 100, 200
iv. 112, 140, 168
v. 144, 180, 384
iii. 24, 26, 40
vi. 660, 420, 240
Q6. The HCF and LCM of two numbers are 131 and 8253 respectively. If one of the number is 917, find the other.
Q7. The product of two numbers is 2160 and their HCF is 12. Find their LCM.
Q8. The LCM of two numbers is 128 and their product is 8192. Find their HCF.
Q9. If the product of the LCM and HCF is 28125 and one of the number is 125, find the other number.
Q10. Verify that HCF of 10, 15 and 20 is a factor of LCM of the same number.
Q11. Verify that LCM of 12, 20 and 30 is a multiple of their HCF.
Q12. Show that the HCF of 12 and 15 is not greater than either 12 or 15 and also show that the LCM of 12 and 15
is not less than either 12 or 15.
Q13. Find the least natural number which when divided by 112, 140 and 168 leaves remainder 8 in each case.
Q14. Find the greatest 4-digit number which when divided by 20, 24 and 45 leaves a remainder of 11 in each
case.
EQ\MATHS\VI\05
Rudrapur, Distt. Udham Singh Nagar, Uttarakhand ( India )
BHARTIYAM
INTERNATIONAL SCHOOL
Discover beyond ordinary…
Q15. Find the largest largest number which when divided by 245 and 1029, leaves a remainder 5 in each case.
Q16. Find the largest number that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively.
Q17. Find the smallest four digit number which is divisible by 18, 24 and 32.
Q18. Four bells ring at interval of 3, 7, 12 and 14 seconds respectively. At what time will they ring together if they
start ringing at 7 a.m?
EQ\MATHS\VI\05
Rudrapur, Distt. Udham Singh Nagar, Uttarakhand ( India )