The multiples of 3 with products from 1 to 1000 are:
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
6 x 3 = 18
7 x 3 = 21
8 x 3 = 24
9 x 3 = 27
10 x 3 = 30
11 x 3 = 33
12 x 3 = 36
13 x 3 = 39
14 x 3 = 42
15 x 3 = 45
16 x 3 = 48
17 x 3 = 51
18 x 3 = 54
19 x 3 = 57
20 x 3 = 60
21 x 3 = 63
22 x 3 = 66
23 x 3 = 69
24 x 3 = 72
25 x 3 = 75
26 x 3 = 78
27 x 3 = 81
28 x 3 = 84
29 x 3 = 87
30 x 3 = 90
31 x 3 = 93
32 x 3 = 96
33 x 3 = 99
34 x 3 = 102
35 x 3 = 105
36 x 3 = 108
37 x 3 = 111
38 x 3 = 114
39 x 3 = 117
40 x 3 = 120
41 x 3 = 123
42 x 3 = 126
43 x 3 = 129
44 x 3 = 132
45 x 3 = 135
46 x 3 = 138
47 x 3 = 141
48 x 3 = 144
49 x 3 = 147
50 x 3 = 150
51 x 3 = 153
52 x 3 = 156
53 x 3 = 159
54 x 3 = 162
55 x 3 = 165
56 x 3 = 168
57 x 3 = 171
58 x 3 = 174
59 x 3 = 177
60 x 3 = 180
61 x 3 = 183
62 x 3 = 186
63 x 3 = 189
64 x 3 = 192
65 x 3 = 195
66 x 3 = 198
67 x 3 = 201
68 x 3 = 204
69 x 3 = 207
70 x 3 = 210
71 x 3 = 213
72 x 3 = 216
73 x 3 = 219
74 x 3 = 222
75 x 3 = 225
76 x 3 = 228
77 x 3 = 231
78 x 3 = 234
79 x 3 = 237
80 x 3 = 240
81 x 3 = 243
82 x 3 = 246
83 x 3 = 249
84 x 3 = 252
85 x 3 = 255
86 x 3 = 258
87 x 3 = 261
88 x 3 = 264
89 x 3 = 267
90 x 3 = 270
91 x 3 = 273
92 x 3 = 276
93 x 3 = 279
94 x 3 = 282
95 x 3 = 285
96 x 3 = 288
97 x 3 = 291
98 x 3 = 294
99 x 3 = 297
100 x 3 = 300
101 x 3 = 303
102 x 3 = 306
103 x 3 = 309
104 x 3 = 312
105 x 3 = 315
106 x 3 = 318
107 x 3 = 321
108 x 3 = 324
109 x 3 = 327
110 x 3 = 330
111 x 3 = 333
112 x 3 = 336
113 x 3 = 339
114 x 3 = 342
115 x 3 = 345
116 x 3 = 348
117 x 3 = 351
118 x 3 = 354
119 x 3 = 357
120 x 3 = 360
121 x 3 = 363
122 x 3 = 366
123 x 3 = 369
124 x 3 = 372
125 x 3 = 375
126 x 3 = 378
127 x 3 = 381
128 x 3 = 384
129 x 3 = 387
130 x 3 = 390
131 x 3 = 393
132 x 3 = 396
133 x 3 = 399
134 x 3 = 402
135 x 3 = 405
136 x 3 = 408
137 x 3 = 411
138 x 3 = 414
139 x 3 = 417
140 x 3 = 420
141 x 3 = 423
142 x 3 = 426
143 x 3 = 429
144 x 3 = 432
145 x 3 = 435
146 x 3 = 438
147 x 3 = 441
148 x 3 = 444
149 x 3 = 447
150 x 3 = 450
151 x 3 = 453
152 x 3 = 456
153 x 3 = 459
154 x 3 = 462
155 x 3 = 465
156 x 3 = 468
157 x 3 = 471
158 x 3 = 474
159 x 3 = 477
160 x 3 = 480
161 x 3 = 483
162 x 3 = 486
163 x 3 = 489
164 x 3 = 492
165 x 3 = 495
166 x 3 = 498
167 x 3 = 501
168 x 3 = 504
169 x 3 = 507
170 x 3 = 510
171 x 3 = 513
172 x 3 = 516
173 x 3 = 519
174 x 3 = 522
175 x 3 = 525
176 x 3 = 528
177 x 3 = 531
178 x 3 = 534
179 x 3 = 537
180 x 3 = 540
181 x 3 = 543
182 x 3 = 546
183 x 3 = 549
184 x 3 = 552
185 x 3 = 555
186 x 3 = 558
187 x 3 = 561
188 x 3 = 564
189 x 3 = 567
190 x 3 = 570
191 x 3 = 573
192 x 3 = 576
193 x 3 = 579
194 x 3 = 582
195 x 3 = 585
196 x 3 = 588
197 x 3 = 591
198 x 3 = 594
199 x 3 = 597
200 x 3 = 600
201 x 3 = 603
202 x 3 = 606
203 x 3 = 609
204 x 3 = 612
205 x 3 = 615
206 x 3 = 618
207 x 3 = 621
208 x 3 = 624
209 x 3 = 627
210 x 3 = 630
211 x 3 = 633
212 x 3 = 636
213 x 3 = 639
214 x 3 = 642
215 x 3 = 645
216 x 3 = 648
217 x 3 = 651
218 x 3 = 654
219 x 3 = 657
220 x 3 = 660
221 x 3 = 663
222 x 3 = 666
223 x 3 = 669
224 x 3 = 672
225 x 3 = 675
226 x 3 = 678
227 x 3 = 681
228 x 3 = 684
229 x 3 = 687
230 x 3 = 690
231 x 3 = 693
232 x 3 = 696
233 x 3 = 699
234 x 3 = 702
235 x 3 = 705
236 x 3 = 708
237 x 3 = 711
238 x 3 = 714
239 x 3 = 717
240 x 3 = 720
241 x 3 = 723
242 x 3 = 726
243 x 3 = 729
244 x 3 = 732
245 x 3 = 735
246 x 3 = 738
247 x 3 = 741
248 x 3 = 744
249 x 3 = 747
250 x 3 = 750
251 x 3 = 753
252 x 3 = 756
253 x 3 = 759
254 x 3 = 762
255 x 3 = 765
256 x 3 = 768
257 x 3 = 771
258 x 3 = 774
259 x 3 = 777
260 x 3 = 780
261 x 3 = 783
262 x 3 = 786
263 x 3 = 789
264 x 3 = 792
265 x 3 = 795
266 x 3 = 798
267 x 3 = 801
268 x 3 = 804
269 x 3 = 807
270 x 3 = 810
271 x 3 = 813
272 x 3 = 816
273 x 3 = 819
274 x 3 = 822
275 x 3 = 825
276 x 3 = 828
277 x 3 = 831
278 x 3 = 834
279 x 3 = 837
280 x 3 = 840
281 x 3 = 843
282 x 3 = 846
283 x 3 = 849
284 x 3 = 852
285 x 3 = 855
286 x 3 = 858
287 x 3 = 861
288 x 3 = 864
289 x 3 = 867
290 x 3 = 870
291 x 3 = 873
292 x 3 = 876
293 x 3 = 879
294 x 3 = 882
295 x 3 = 885
296 x 3 = 888
297 x 3 = 891
298 x 3 = 894
299 x 3 = 897
300 x 3 = 900
301 x 3 = 903
302 x 3 = 906
303 x 3 = 909
304 x 3 = 912
305 x 3 = 915
306 x 3 = 918
307 x 3 = 921
308 x 3 = 924
309 x 3 = 927
310 x 3 = 930
311 x 3 = 933
312 x 3 = 936
313 x 3 = 939
314 x 3 = 942
315 x 3 = 945
316 x 3 = 948
317 x 3 = 951
318 x 3 = 954
319 x 3 = 957
320 x 3 = 960
321 x 3 = 963
322 x 3 = 966
323 x 3 = 969
324 x 3 = 972
325 x 3 = 975
326 x 3 = 978
327 x 3 = 981
328 x 3 = 984
329 x 3 = 987
330 x 3 = 990
331 x 3 = 993
332 x 3 = 996
333 x 3 = 999
428 of them.
999/3there are 333 multiples of 3
You have to be kidding me..
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100.
The first multiple of 3 is 3; the last multiple of 3 below 1000 is 999. (This can be determined by dividing 1000 by 3, ignoring the remainder, and then multiplying that number by 3 to determine the largest multiple of 3 less than 1000.) Since 999 is 3 times 333, there are 333 multiples of 3 that are less than 1000. So, consider them by pairs: 1st and 333rd = 3 + 999 = 1002 2nd and 332nd = (2 x 3) + (332 x 3) = 6 + 996 = 1002 3rd and 331st = (3 x 3) + (331 x 3) = 9 + 993 = 1002 up to 166th and 168th = (166 x 3) + (168 x 3) = 498 + 504 = 1002 167th = 501 (which is half of 1002) In other words, since 333 is not an even number, there are (333 - 1)/2 = 166 pairs, plus that extra half of a pair. The sum of all the multiples of 3 less than 1000 is 166.5 x 1002 = 166,833. The same can be done for the multiples of 5. The first multiple of 5 is 5; the last multiple of 5 below 1000 is 995. (This can be determined by dividing 1000 by 5, subtracting 1 since it divided evenly and you need the largest multiple less than 1000, and then multiplying that number by 5 to determine the largest multiple of 5 less than 1000.) Since 995 is 5 times 199, there are 199 multiples of 5 that are less than 1000. So, consider these by pairs as well.e are 1st and 199 = 5 + 995 = 1000 2nd and 198 = 10 + 990 = 1000 up to 100th = 500 (which is half of 1000) In other words, since 199 is not an even number, there are (199 - 1)/2 = 99 pairs, plus that extra half of a pair. So, the sum of all the multiples of 5 less than 1000 is 99.5 x 1000 = 99,500. If the desired answer is the sum of all numbers less than 1000 that are either multiples of 3 or 5, then the numbers that are multiples of both 3 and 5 have been included twice - once as multiples of 3 and again as multiples of 5. So, since all numbers that are both multiples of 3 and multiples of 5 are multiples of 15, determine the sum of all the multiples of 15 and subtract it from the sum of the multiples of 3 and the multiples of 5. We can repeat the same procedure again. The first multiple of 15 is 15; the last multiple of 15 less than 1000 is 990. Since 990 is 15 x 66, there are 66 multiples of 15 less than 1000. 1st and 66th = 15 + 990 = 1005 2nd and 65th = 30 + 975 = 1005 and so on Since 66 is an even number, there are 66/2 = 33 pairs. So the sum of all the multiples of 15 less than 1000 is 33 x 1005 = 33,165. The sum of all the multiples of 3 and all the multiples of 5, but not counting them twice, is 166,833 + 99,500 - 33,165 = 233,168.
333
428 of them.
999/3there are 333 multiples of 3
You have to be kidding me..
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100.
The first multiple of 3 is 3; the last multiple of 3 below 1000 is 999. (This can be determined by dividing 1000 by 3, ignoring the remainder, and then multiplying that number by 3 to determine the largest multiple of 3 less than 1000.) Since 999 is 3 times 333, there are 333 multiples of 3 that are less than 1000. So, consider them by pairs: 1st and 333rd = 3 + 999 = 1002 2nd and 332nd = (2 x 3) + (332 x 3) = 6 + 996 = 1002 3rd and 331st = (3 x 3) + (331 x 3) = 9 + 993 = 1002 up to 166th and 168th = (166 x 3) + (168 x 3) = 498 + 504 = 1002 167th = 501 (which is half of 1002) In other words, since 333 is not an even number, there are (333 - 1)/2 = 166 pairs, plus that extra half of a pair. The sum of all the multiples of 3 less than 1000 is 166.5 x 1002 = 166,833. The same can be done for the multiples of 5. The first multiple of 5 is 5; the last multiple of 5 below 1000 is 995. (This can be determined by dividing 1000 by 5, subtracting 1 since it divided evenly and you need the largest multiple less than 1000, and then multiplying that number by 5 to determine the largest multiple of 5 less than 1000.) Since 995 is 5 times 199, there are 199 multiples of 5 that are less than 1000. So, consider these by pairs as well.e are 1st and 199 = 5 + 995 = 1000 2nd and 198 = 10 + 990 = 1000 up to 100th = 500 (which is half of 1000) In other words, since 199 is not an even number, there are (199 - 1)/2 = 99 pairs, plus that extra half of a pair. So, the sum of all the multiples of 5 less than 1000 is 99.5 x 1000 = 99,500. If the desired answer is the sum of all numbers less than 1000 that are either multiples of 3 or 5, then the numbers that are multiples of both 3 and 5 have been included twice - once as multiples of 3 and again as multiples of 5. So, since all numbers that are both multiples of 3 and multiples of 5 are multiples of 15, determine the sum of all the multiples of 15 and subtract it from the sum of the multiples of 3 and the multiples of 5. We can repeat the same procedure again. The first multiple of 15 is 15; the last multiple of 15 less than 1000 is 990. Since 990 is 15 x 66, there are 66 multiples of 15 less than 1000. 1st and 66th = 15 + 990 = 1005 2nd and 65th = 30 + 975 = 1005 and so on Since 66 is an even number, there are 66/2 = 33 pairs. So the sum of all the multiples of 15 less than 1000 is 33 x 1005 = 33,165. The sum of all the multiples of 3 and all the multiples of 5, but not counting them twice, is 166,833 + 99,500 - 33,165 = 233,168.
I would do it like this though I'm sure there are other ways: There are 10 multiples of 3 every 30 (3,6,9,12,15,18,21,24,27,30). There are (1000/30)= 33 lots of 30 in 1000 Therefore there are (10 x 33)=330 multiples of 3 which brings us up to 990 (330x3 =990) Then there are 3 more multiples of 3 993, 996,999 This makes the total 333 multiples of three between 1 and 1001
Not counting zero, the first five multiples are 200, 400, 600, 800, and 1000. (200 times 1, 2, 3, 4, and 5)
All multiples of 12, such as 120, 600, 660.
All of its multiples from 3 to 999
To get the multiples of 6, calculate: 6 x 0 6 x 1 6 x 2 6 x 3 etc. Or add 6 to one of the multiples, to get the next one.
3,6,9,12,15,18,21,24,27,30,33,36,39,42are multiples of 3 5,10,15,20,25,30,35,40,45,50,55,60,65,are multiples of 5