# Worksheet on Exact Divisibility

Practice the questions given in the worksheet on exact divisibility by 2, 3, 4, 5, 6, 7, 8, 9, and 10.

I. Solve the following:

(i) Which of the following numbers are exactly divisible by 2?

28, 35, 46, 123, 362, 454, 517, 56, 60, 915, 188, 433, 918, 338

(ii) Which of the following numbers are exactly divisible by 3?

26, 96, 243, 3471, 542, 321, 607, 521, 993, 429, 609, 421, 552, 620

(iii) Which of the following numbers are exactly divisible by 4?

64, 127, 538, 2459, 6796, 3258, 923, 464, 2942, 608, 152, 497, 318, 824

(iv) Which of the following numbers are exactly divisible by 5?

1358, 4205, 256, 1090, 1994, 6232, 8210, 9305, 2368, 5255, 4378, 9235, 1907, 2490, 5354, 3967, 5500, 4805

(v) Which of the following numbers are exactly divisible by 6?

236, 1254, 9276, 6054, 390, 9382, 6834, 3285, 4260, 5376, 949, 368, 2188

(vi) Which of the following numbers are exactly divisible by 7?

2975, 3570, 1617, 888, 4321, 6540, 385, 9436, 6400, 9507, 2408, 2913, 9912

(vii) Which of the following numbers are exactly divisible by 8?

1232, 3072, 5794, 2384, 1696, 5931, 2960, 7350, 3677, 5210, 3241, 1824, 7213

(viii) Which of the following numbers are exactly divisible by 9?

989, 783, 792, 1062, 824, 3972, 3879, 5608, 9909, 5499, 5515, 4328, 1639

(ix) Which of the following numbers are exactly divisible by 10?

560, 385, 9100, 7852, 4670, 5691, 7221, 5880, 7295, 5210, 1345, 2680, 3400

(x) Which of the following numbers are neither exactly divisible by 4 not by 7?

15, 21, 28, 35, 29, 41, 18, 252, 421, 518, 221, 56, 280, 352

(xi) There are some of the following numbers which are exactly divisible by 5 as well as 10. Find them.

10, 15, 18, 25, 30, 36, 40, 45, 48, 50, 62, 65, 70, 72, 75, 80, 82, 90, 95

(xii) Which of the following numbers are exactly divisible by 8?

1234, 1232, 3800, 4072, 2905, 3505, 1725, 2417

(xiii) Which of the following numbers are not exactly divisible by 3?

345, 76, 1236, 56934, 9975, 3629, 2417, 6540

(xiv) Find the numbers which are exactly divisible by 3 and 8 both.

15, 24, 32, 54, 48, 56, 96, 76, 120

(xv) Which of the following numbers are exactly divisible by 4?

68, 131, 542, 2463, 6800, 3262, 927, 468, 2946, 612, 156, 501, 322, 828

(xvi) Which of the following numbers are exactly divisible by 6?

242, 1260, 9282, 6060, 396, 9388, 6840, 3291, 4266, 5382, 955, 374, 2194

II. Fill up the first four circles with the numbers, exactly divisible by 10, the next four circles with the numbers, exactly divisible by 6, the next four circles with the numbers, exactly divisible by 8 and the last four circles with the numbers, exactly divisible by 7.

III. Fill in the blanks:

(i) A number is exactly divisible by 2 if it is an _______ number.

(ii) A number ends with 0, is exactly divisible by 5 and _______ .

(iii) A number, exactly divisible by 2 and 3, is also exactly divisible by _______ .

IV. Find the missing digit of each number, exactly divisible by 9.

(i) 43_5

(ii) 5_38

(iii) 243_

(iv) _632

(v) 7_49

(vi) 290_

(vii) 62_1

(viii) 73_4

(ix) 527_

V. Circle the numbers which are exactly divisible by the numbers in bold.

 (i)(ii)(iii)(iv)(v)(vi) 3 6 5 9 210 648, 394, 1730, 4269, 8700, 4193, 2841, 67802413, 2640, 5724, 925, 1410, 1221, 4293, 72901290, 2455, 2721, 5900, 1073, 2421, 7390, 4255378, 729, 633, 1467, 3831, 3232, 1080, 367, 4281421, 1794, 9560, 9237, 4208, 4308, 248, 52683205, 4600, 5410, 9008, 3470, 6805, 2430, 6995

Answers for the worksheet on exact divisibility are given below.

I. (i) 28, 46, 362, 454, 56, 60, 188, 918, 338

(ii) 96, 243, 3471, 321, 993, 429, 609, 552

(iii) 64, 6796, 464, 608, 152, 824

(iv) 4205, 1090, 8210, 9305, 5255, 9235, 2490, 5500, 4805

(v) 1254, 9276, 6054, 390, 6834, 4260, 5376

(vi) 2975, 3570, 1617, 385, 9436, 2408, 9912

(vii) 1232, 3072, 2384, 1696, 2960, 1824

(viii) 783, 792, 1062, 3879, 9909, 5499

(ix) 560, 9100, 4670, 5880, 5210, 2680, 3400

(x) 15, 29, 41, 18, 421, 221

(xi) 10, 30, 40, 50, 70, 80, 90

(xii) 1232, 3800, 4072

(xiii) 76, 3629, 2417

(xiv) 24, 48, 96, 120

(xv) 68, 6800, 468, 612, 156, 828

(xvi) 1260, 9282, 6060, 396, 6840, 4266, 5382

II.

III. (i) even

(ii) 10

(iii) 6

(iv) 9

IV. (i) 4365

(ii) 5238

(iii) 2430

(iv) 7632

(v) 7749

(vi) 2907

(vii) 6201

(viii) 7344

(ix) 5274

V. (i) 648, 4269, 8700, 2841, 6780

(ii) 2640, 5724, 1410, 7290

(iii) 1290, 2455, 5900, 7390, 4255

(iv) 378, 729, 1467, 1080

(v) 1794, 9560, 4208, 4308, 248, 5268

(vi) 4600, 5410, 3470, 2430