Download Divisibility Test (Worksheet)

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Worksheet
Divisibility tests
A number is divisible by 2 if it is even (it ends in 2, 4, 6, 8 or 0).
1 In this list, circle all the numbers that are divisible by 2.
180, 77, 347, 512, 98, 1041, 464, 208, 143, 91
A number is divisible by 3 if its digits add to a number that is divisible by 3.
2 Show that 252 is divisible by 3 by adding its digits: 2 þ 5 þ 2.
3 In this list, circle all the numbers that are divisible by 3.
151, 122, 273, 64, 715, 311, 168, 579, 620, 1995
4 Divide all the circled numbers in question 3 by 3.
A number is divisible by 5 if it ends in 5 or 0.
A number is divisible by 10 if it ends in 0.
5 In this list, circle all the numbers that are divisible by 5.
84, 400, 195, 270, 428, 316, 255, 597, 602, 1215
6 In this list, circle all the numbers that are divisible by 10.
336, 810, 500, 345, 271, 402, 7055, 487, 512, 90
A number is divisible by 6 if it is even and divisible by 3.
7 Show that 774 is divisible by 6 by showing that it is even and divisible by 3.
8 In this list, circle all the numbers that are divisible by 6.
312, 528, 238, 874, 911, 3045, 1999, 2730, 700, 1004
9 Divide all the circled numbers in question 8 by 6.
A number is divisible by 4 if it is even and its last two digits form a number that is divisible by 4.
10 Why is 645 not divisible by 4?
11 a What are the last two digits of 744?
© Cengage Learning Australia Pty Ltd 2011
MAT07NAWK10021
Number and Algebra: Number and place value
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/Maths worksheet MS x 43/Student resources/NCM_Batch1/Worksheet/MAT07NAWK10021_Divisibility_tests.3d] [2/2/012/8:54:17] [1–3]
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b Explain why 744 is divisible by 4.
12 In this list, circle all the numbers that are divisible by 4.
313, 108, 737, 824, 516, 700, 255, 1542, 1632, 2861
13 Divide all the circled numbers in question 12 by 4.
A number is divisible by 8 if it is even and its last three digits form a number that is divisible by 8.
14 Why is 8127 not divisible by 8?
15 a What are the last three digits of 2038?
b Explain why 2038 is not divisible by 8.
16 In this list, circle all the numbers that are divisible by 8.
245, 618, 848, 360, 924, 1516, 4368, 2032, 3427, 2209
17 Divide all the circled numbers in question 16 by 8.
A number is divisible by 9 if its digits add to a number that is divisible by 9.
18 Show that 594 is divisible by 9 by adding its digits: 5 þ 9 þ 4.
19 Show that 7043 is not divisible by 9.
20 In this list, circle all the numbers that are divisible by 9.
342, 427, 810, 234, 129, 297, 415, 865, 1089, 4948
21 Divide all the circled numbers in question 20 by 9.
© Cengage Learning Australia Pty Ltd 2011
MAT07NAWK10021
Number and Algebra: Number and place value
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/Maths worksheet MS x 43/Student resources/NCM_Batch1/Worksheet/MAT07NAWK10021_Divisibility_tests.3d] [2/2/012/8:54:17] [1–3]
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Answers
1 180, 512, 98, 464, 208
2 9 is divisible by 3
3 273, 168, 579, 1995
4 91, 56, 193, 665
5 400, 195, 270, 255, 1215
6 810, 500, 90
7 774 ends in an even number (4) and 7 þ 7 þ 4 ¼ 18, which is divisible by 3.
8 312, 528, 2730
9 52, 88, 455
10 645 is not even and 45 is not divisible by 4.
11 a 44
b Because 44 is divisible by 4 and 744 is an even number.
12 108, 824, 516, 700, 1632
13 27, 206, 129, 175, 408
14 Because 8127 is not even or because 127 is not divisible by 8.
15 a 038
b Because 038 is not divisible by 8.
16 848, 360, 4368, 2032
17 106, 45, 546, 254
18 5 þ 9 þ 4 ¼ 18 is divisible by 9.
19 7 þ 0 þ 4 þ 3 ¼ 14 is not divisible by 9.
20 342, 810, 234, 297, 1089
21 38, 90, 26, 33, 121
© Cengage Learning Australia Pty Ltd 2011
MAT07NAWK10021
Number and Algebra: Number and place value
www.nelsonnet.com.au