(i) (2 + 12 )
(iii) (5 + 15) (5 - 15) (iv)
Answers
Answer:
SOLUTION:
(i). The factor of 24 are as follows:
24\ =\ 1\times\ 24\24 = 1× 24
24\ =\ 12\ \times2\24 = 12 ×2
24\ =\ 3\times\ 8\24 = 3× 8
24\ =\ 4\ \times\ 624 = 4 × 6
24\ =\ 12\ \times\ 224 = 12 × 2
24\ =\ 6\times424 = 6×4
24=8\times3\24=8×3
24=\ 24\times124= 24×1
therefore, the factors of 24 are 24 = 1, 2, 3, 4, 6, 12 and 24.
(ii) The factor of 15 are as follows:
15=\ 1\times1\ 515= 1×1 5
15\ =\ 3\times5\15 = 3×5
15\ =\ 5\times\ 315 = 5× 3
15=15\times115=15×1
therefore, the factors of 15 are 1, 3, 5 and 15.
(iii) The factors of 21 are as follows:
21\ =\ 1\times21\ \ \21 = 1×21
21\ =\ 3\times7\21 = 3×7
21\ =\ 7\times3\21 = 7×3
21\ =\ 21\ \times1\21 = 21 ×1
therefore, the factors of 21 are 1, 3, 7 and 21.
(iv) The factors of 27 are as follows:
27\ =\ 1\times27\27 = 1×27
27\ =\ 3\times9\27 = 3×9
27\ =\ 9\times327 = 9×3
27\ =\ 27\times127 = 27×1
therefore, the factors of 27 are 1, 3, 9 and 27.
(v) The factors of 12 are as follows:
12\ =\ 1\times1212 = 1×12
12\ =\ 2\times6\12 = 2×6
12\ =\ 3\ \times4\12 = 3 ×4
12\ =\ 4\times3\12 = 4×3
12\ =\ 4\ \times3\12 = 4 ×3
12\ =\ 6\times2\12 = 6×2
12=\ 12\times112= 12×1
Therefore, the factors of 12 are 1, 2, 3, 4, 6 and 12.
(vi) the factors of 20 are as follows:
20\ =\ 1\times2020 = 1×20
20\ =\ 2\times1020 = 2×10
20\ =\ 4\times520 = 4×5
20=\ 10\times220= 10×2
20\ =\ 5\times420 = 5×4
20=20\times120=20×1
therefore, the factors of 20 are 1, 2, 4, 5 10 and 20.
(vii) the factors of 18 are as follows:
18=1\times18\18=1×18
18\ =\ 2\times918 = 2×9
18=\ 3\times6\18= 3×6
18=\ 6\times3\18= 6×3
18=\ 9\times218= 9×2
18=18\times118=18×1
therefore, factors of 18 are 1,2, 3, 6, 9 and 18.
(viii) the factors of 23 are as follows:
23=1\times2323=1×23
23=23\times123=23×1
therefore, the factors of 23 are 1 and 23.
(ix) the factors of 36 are as follows:
36=1\times3636=1×36
36=2\times18\36=2×18
36=\ 3\times1236= 3×12
36=4\times936=4×9
36=6\times636=6×6
36=\ 18\times236= 18×2
36=12\times336=12×3
36=9\times436=9×4
36=\ 36\times136= 36×1
therefore, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.
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