Hello Dear Students! Hope everything is fantastic! Here on this page we (Net Ex.) has arranged a set of questions on ‘Factors and multiples including their properties’ for the students of Navodaya Vidyalaya Entrance Exam (JNVST) 2024. The prescribed questions on Factors and multiples including their properties will very important for this year 2024.
Factors and multiples including their properties Class 6 Navodaya Vidyalaya 2024:
Full Mark : 100 Time : 3 hours
(1) Answer the following questions. (5 × 1 = 5)
(i) Define the prime numbers.
(ii) What is meant by the factor of a number?
(iii) Which number has only one factor?
(iv) How do we tell if a number is divisible by 3?
(v) What is meant by the prime factorization?
(2) Write all prime numbers less than 25.(1 × 1 = 1)
(3) Write all composite numbers less than 50.(1 × 1 = 1)
(4) Write five consecutive composite numbers just below 100.(1 × 1 = 1)
(5) List all numbers less than 100 which are multiples of 3 and 4.(1 × 1 = 1)
(6) List all numbers less than 50 which are multiples of 5 and 10(1 × 1 = 1)
(7) Write all factors of each of the following numbers. (5 × 1 = 5)
(i) 22
(ii) 36
(iii) 44
(iv) 25
(v) 99
(8) Write first five multiplies of each of the following numbers.(5 × 1 = 5)
(i) 11
(ii) 13
(iii) 6
(iv) 9
(v) 6
(9) List all prime numbers between:(5 × 1 = 5)
(i) 10 and 20
(ii) 25 and 50
(iii) 32 and 54
(iv) 76 and 98
(v) 50 and 100
(10) Which of the following numbers are divisible by 12 or 15. (10 ×1 = 10)
(i) 4428
(ii) 11112
(iii) 3150
(iv) 1140
(v) 12345
(vi) 312
(vii) 612
(viii) 729
(ix) 576
(x) 1335
(11) Find the numbers which can be divided by 25. (5×1 = 5)
(i) 1111150
(ii) 810235
(iii) 100200300
(iv) 5412625
(v) 626205
(12) Find the number which is divisible by 11.(10 × 1 = 10)
(i) 5155
(ii) 8415
(iii) 3673
(iv) 2550
(v) 7654321
(vi) 654313
(vii) 135795
(viii) 21211212
(ix) 254685
(x) 45897
(13) Express the following factors by using the index notation :(10 × 1 = 10)
(i) 29 × 29
(ii) 2 × 2 × 2 × 3 × 3 × 5 × 5
(iii) 11 × 11 × 11 × 11
(iv) 5 × 5 × 5 × 5 × 5 × 5
(v) 13 × 13 × 13
(vi) 3 × 3 × 3 × 3 × 3 × 3
(vii) 7 × 7 × 7 × 7
(viii) 7 × 7 × 11 × 23 × 23
(ix) 8 × 8 × 11 × 11 × 23 × 23
(x) 3 × 3 × 3 × 3
(14) Find the prime factors of the following numbers by using division method(10 × 1 = 10)
(i) 20
(ii) 36
(iii) 98
(iv) 225
(v) 216
(vi) 441
(vii) 256
(viii) 392
(ix) 5250
(x) 2310
(xi) 2058
(xii) 1248
(15) Find all the common factors.(5 × 1 = 5)
(i) 2 and 8
(ii) 8 and 16
(iii) 10 and 20
(vi) 28 and 48
(v) 25 and 35
(16) Write all numbers less than 60 which are :(5 × 1 = 5)
(i) multiples of 9
(ii) multiples of 2
(iii) multiples of 5
(iv) multiples of 7
(v) multiples of 8
(17) Use prime factorization method to find the HCF.(5 × 1 = 5)
(i) 75, 85, 45
(ii) 45, 25, 15
(iii) 48,72
(iv) 70,105
(v) 33, 44,77
(18) Use division method to find the HCF. (5 × 1 = 5)
(i) 245, 845
(ii) 326, 1026
(i) 924,1045
(ii) 1505,2982
(iii) 710,1815,945
(19) Use prime factorization method to find LCM.(5 × 1 = 5)
(i) 45, 65
(ii) 80, 140
(iii) 75,120
(iv) 234, 702
(v) 75,125,350
(20) The HCF of two numbers 525 and 1155 is 105. Find their LCM.(2 × 1 = 2)
(21) The LCM of two numbers 660 and 2100 is 23100. Find their HCF.(2 × 1 = 2)
(22) The HCF and LCM of two numbers are 29 and 3045. If one of the numbers is 435, find the other. (2 × 1 = 2)
(23) The HCF of two numbers is 16 and their product is 3328. Find their LCM. (2 × 1 = 2)
(24) Manju wants to prepare some handkerchiefs of same size from a piece of cloth 9m long and 1.25 m wide. What will be the largest size of the handkerchiefs when no wastage is allowed. (2 × 1 = 2)