Define:
(i) factor
(ii) multiple. Give five examples of each.
Write down all the factors of
(i) 20
(ii) 36
(iii) 60
(iv) 75
Write the first five multiples of each of the following numbers:
(i) 17 (ii) 23 (iii) 65 (iv) 70
Which of the following numbers are even and which are odd?
(i) 32 (ii) 37 (iii) 50 (iv) 58
(v) 69 (vi) 144 (vii) 321 (viii) 253
What are the prime numbers? Give ten examples
Write all the prime numbers between
(i) 10 and 40 (ii) 80 and 100 (iii) 40 and 80 (iv) 30 and 40
(i) Write the smallest prime number.
(ii) List all even prime numbers
(iii) Write the smallest odd prime number
Find which of the following prime numbers are primes:
(i) 87 (ii) 89 (iii) 63 (iv) 91
Make a list of seven consecutive numbers, none of which is prime
(i) Is there any counting number having no factor at all?
(ii) Find all the numbers having exactly one factor.
(iii) Find numbers between 1 and 100 having exactly three factors.
Test the divisibility of the following numbers by 2:
(i) 2650
(ii) 69435
(iii) 59628
(iv) 789403
(v) 357986
(vi) 367314
Test the divisibility of the following numbers by 4
(i) 618
(ii) 2314
(iii) 63712
(iv) 35056
(v) 946126
(vi) 810524
Test the divisibility of the following numbers by 5:
(i) 4965
(ii) 23590
(iii) 35208
(iv) 723405
(v) 124684
(vi) 438750
Test the divisibility of the following numbers by 6:
(i) 2070
(ii) 46523
(iii) 71232
(iv) 934706
(v) 251780
(vi) 872536
Test the divisibility of the following numbers by 7:
(i) 826
(ii) 117
(iii) 2345
(iv) 6021
(v) 14126
(vi)25368
Test the divisibility of the following numbers by 8:
(i) 9364
(ii) 2138
(iii) 36792
(iv) 901674
(v) 136976
(vi) 1790184
Test the divisibility of the following numbers by 9:
(i) 2358
(ii) 3333
(iii) 98712
(iv) 257106
(v) 647514
(vi) 326999
Test the divisibility of the following numbers by 10:
(i) 5790
(ii) 63215
(iii) 55555
Test the divisibility of the following numbers by 11:
(i) 4334
(ii) 83721
(iii) 66311
(iv) 137269
(v) 901351
(vi) 8790322
Give the prime factorization of each of the following numbers:
12
18
48
56
90
136
252
420
637
945
Find the HCF of the numbers in each of the following, using the prime factorization method:
84, 98
170, 238
504,980
72, 108, 180
84, 120, 138
106,159,371
272, 425
144, 252,630
1197, 5320, 4389
Find the HCF of the numbers in each of the following, using the division method:
58, 70
399, 437
1045, 1520
1965, 2096
2241, 2324
658, 940, 1128
754, 1508, 1972
391, 425, 527
1794, 2346, 4761
Show that the following primes are co-primes:
59, 97
161,192
343, 432
512, 945
385, 621
847, 1014
Find the greatest number which divides 615 and 963, leaving the remainder 6 in each case
42, 63
60, 75
12, 18, 20
36, 40, 126
16, 28, 40, 77
28, 36, 45, 60
144, 180, 384
48, 64, 72, 96, 108
Find the HCF and LCM of
117, 221
234,572
693, 1078
145,232
861, 1353
2923, 3239
Which of the following numbers is divisible by 3?
(a) 24357806
(b) 35769812
(c) 83479560
(d) 3336433
Which of the following numbers is divisible by 9?
(a) 8576901
(b) 96345210
(c) 67594310
(d) none of these
Which of the following numbers is divisible by 4?
(a) 78653234
(b) 98765042
(c) 24689602
(d) 87941032
Which of the following numbers is divisible by 8?
(a) 96354142
(b) 37450176
(c) 57064214
Which of the following numbers is divisible by 6?
(a) 8790432
(b) 98671402
(c) 85492014
Which of the following numbers is divisible by 11?
(a) 3333333
(b) 1111111
(c) 22222222
Which of the following is a prime number?
(a) 81
(b) 87
(c) 91
(d) 97
(a) 117
(b) 171
(c) 179
(a) 323
(b) 361
(c) 263
Which of the following are co-primes?
(a) 8, 12
(b) 9, 10
(c) 6, 8
(d) 15, 18
Which of the following is a composite number?
(a) 23
(b) 29
(c) 32
The HCF of 144 and 198 is
(a) 9
(b) 12
(c) 6
(d) 18
The HCF of 144, 180 and 192 is
(a) 12
(b) 16
(c) 18
(d) 8
(a) 39, 91
(b) 161, 192
(c) 385, 462
289/391 when reduced to the lowest terms is
(a) 11/23
(b) 13/31
(c) 17/ 31
(d) 17/23
The greatest number which divides 134 and 167 leaving 2 as the remainder in each case is
(a) 14
(b) 17
(c) 19
(d) 33
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