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..
The multiples of 4 are numbers that can be divided evenly by 4. To find all the multiples of 4 from 1 to 1000, we can start by finding the first multiple of 4, which is 4. Then we can continue adding 4 to find the rest of the multiples. The multiples of 4 from 1 to 1000 are: 4, 8, 12, 16, ... , 996, 1000.
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
All multiples of 3 have digits that add up to a multiple of 3. There are 333 multiples of 3 between 1 and 1000.
All multiples of 3 have digits that add up to a multiple of 3. There are 333 multiples of 3 between 1 and 1000.
The multiples of a whole number are found by taking the product of any counting number and that whole number. For example, to find the multiples of 3, multiply 3 by 1, 3 by 2, 3 by 3, and so on. To find the multiples of 5, multiply 5 by 1, 5 by 2, 5 by 3, and so on. The multiples are the products of these multiplications.8 x 125 = 1000So 1000 is a multiple of 8
428 of them.
999/3there are 333 multiples of 3
You have to be kidding me..
The multiples of 4 are numbers that can be divided evenly by 4. To find all the multiples of 4 from 1 to 1000, we can start by finding the first multiple of 4, which is 4. Then we can continue adding 4 to find the rest of the multiples. The multiples of 4 from 1 to 1000 are: 4, 8, 12, 16, ... , 996, 1000.
floor(1000/8)=125
4
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