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The multiples of 5 with products from 1 to 1000 are:

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

4 x 5 = 20

5 x 5 = 25

6 x 5 = 30

7 x 5 = 35

8 x 5 = 40

9 x 5 = 45

10 x 5 = 50

11 x 5 = 55

12 x 5 = 60

13 x 5 = 65

14 x 5 = 70

15 x 5 = 75

16 x 5 = 80

17 x 5 = 85

18 x 5 = 90

19 x 5 = 95

20 x 5 = 100

21 x 5 = 105

22 x 5 = 110

23 x 5 = 115

24 x 5 = 120

25 x 5 = 125

26 x 5 = 130

27 x 5 = 135

28 x 5 = 140

29 x 5 = 145

30 x 5 = 150

31 x 5 = 155

32 x 5 = 160

33 x 5 = 165

34 x 5 = 170

35 x 5 = 175

36 x 5 = 180

37 x 5 = 185

38 x 5 = 190

39 x 5 = 195

40 x 5 = 200

41 x 5 = 205

42 x 5 = 210

43 x 5 = 215

44 x 5 = 220

45 x 5 = 225

46 x 5 = 230

47 x 5 = 235

48 x 5 = 240

49 x 5 = 245

50 x 5 = 250

51 x 5 = 255

52 x 5 = 260

53 x 5 = 265

54 x 5 = 270

55 x 5 = 275

56 x 5 = 280

57 x 5 = 285

58 x 5 = 290

59 x 5 = 295

60 x 5 = 300

61 x 5 = 305

62 x 5 = 310

63 x 5 = 315

64 x 5 = 320

65 x 5 = 325

66 x 5 = 330

67 x 5 = 335

68 x 5 = 340

69 x 5 = 345

70 x 5 = 350

71 x 5 = 355

72 x 5 = 360

73 x 5 = 365

74 x 5 = 370

75 x 5 = 375

76 x 5 = 380

77 x 5 = 385

78 x 5 = 390

79 x 5 = 395

80 x 5 = 400

81 x 5 = 405

82 x 5 = 410

83 x 5 = 415

84 x 5 = 420

85 x 5 = 425

86 x 5 = 430

87 x 5 = 435

88 x 5 = 440

89 x 5 = 445

90 x 5 = 450

91 x 5 = 455

92 x 5 = 460

93 x 5 = 465

94 x 5 = 470

95 x 5 = 475

96 x 5 = 480

97 x 5 = 485

98 x 5 = 490

99 x 5 = 495

100 x 5 = 500

101 x 5 = 505

102 x 5 = 510

103 x 5 = 515

104 x 5 = 520

105 x 5 = 525

106 x 5 = 530

107 x 5 = 535

108 x 5 = 540

109 x 5 = 545

110 x 5 = 550

111 x 5 = 555

112 x 5 = 560

113 x 5 = 565

114 x 5 = 570

115 x 5 = 575

116 x 5 = 580

117 x 5 = 585

118 x 5 = 590

119 x 5 = 595

120 x 5 = 600

121 x 5 = 605

122 x 5 = 610

123 x 5 = 615

124 x 5 = 620

125 x 5 = 625

126 x 5 = 630

127 x 5 = 635

128 x 5 = 640

129 x 5 = 645

130 x 5 = 650

131 x 5 = 655

132 x 5 = 660

133 x 5 = 665

134 x 5 = 670

135 x 5 = 675

136 x 5 = 680

137 x 5 = 685

138 x 5 = 690

139 x 5 = 695

140 x 5 = 700

141 x 5 = 705

142 x 5 = 710

143 x 5 = 715

144 x 5 = 720

145 x 5 = 725

146 x 5 = 730

147 x 5 = 735

148 x 5 = 740

149 x 5 = 745

150 x 5 = 750

151 x 5 = 755

152 x 5 = 760

153 x 5 = 765

154 x 5 = 770

155 x 5 = 775

156 x 5 = 780

157 x 5 = 785

158 x 5 = 790

159 x 5 = 795

160 x 5 = 800

161 x 5 = 805

162 x 5 = 810

163 x 5 = 815

164 x 5 = 820

165 x 5 = 825

166 x 5 = 830

167 x 5 = 835

168 x 5 = 840

169 x 5 = 845

170 x 5 = 850

171 x 5 = 855

172 x 5 = 860

173 x 5 = 865

174 x 5 = 870

175 x 5 = 875

176 x 5 = 880

177 x 5 = 885

178 x 5 = 890

179 x 5 = 895

180 x 5 = 900

181 x 5 = 905

182 x 5 = 910

183 x 5 = 915

184 x 5 = 920

185 x 5 = 925

186 x 5 = 930

187 x 5 = 935

188 x 5 = 940

189 x 5 = 945

190 x 5 = 950

191 x 5 = 955

192 x 5 = 960

193 x 5 = 965

194 x 5 = 970

195 x 5 = 975

196 x 5 = 980

197 x 5 = 985

198 x 5 = 990

199 x 5 = 995

200 x 5 = 1000

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Q: What are the multiples of 5 from 1 to 1000?
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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


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What is the sum of all the multiples of 3 or 5 below 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.


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