The positive integer multiples giving products between 600 and 700 are:
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
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There are several multiples of 100. The multiples of 1 are: 1, 2, 3, 4, 5, 6, 7, 8 ect. All you have to do is add 2 zeroes. The multiples of 100 are: 100, 200, 300, 400, 500, 600, 700, 800 ect.
The multiples of 3 between 1 and 22 are: 3,6,9,12,15,18,21.
3 and these are 600,650,and 700
6 to 7 12 to 14 600 to 700
There are 600 such numbers.