2. Find the number of factors of each:
a. 19
b. 28
C. 36
d. 43
e. 90
Answers
Answer:
1. Write all the factors of the following numbers:
(a) 24
(b) 15
(c) 21
(d) 27
(e) 12
(f) 20
(g) 18
(h) 23
(i) 36
Solution.
(a) 24
24 = 1 x 24
24 = 2 x 12
24 = 3 x 8
24 = 4 x 6
Therefore, all the factors of 24 are: 1, 2, 3, 4, 6, 8, 12 and 24.(b) 15
15 = 1 x 15
15 = 3 x 5
Therefore, all the factors of 15 are: 1, 3, 5 and 15.
(c) 21
21 = 1 x 21
21 = 3 x 7
Therefore, all the factors of 21 are: 1, 3, 7 and 21.
(d) 27
27 = 1 x 27
27 = 3 x 9
Therefore, all the factors of 27 are: 1, 3, 9 and 27.
(e) 12
12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
Therefore, all the factors of 12 are: 1, 2, 3, 4, 6 and 12.
(f) Factors of 20 are:
20 = 1 x 20
20 = 2 x 10
20 = 4 x 5
Therefore, all the factors of 20 are: 1, 2, 4, 5, 10 and 20.
(g) Factors of 18 are:18 = 1 x 18
18 = 2 x 9
18 = 3 x 6
Therefore, all the factors of 18 are: 1, 2, 3, 6, 9 and 18.
(h) Factors of 23 are:
23 = 1 x 23
Therefore, all the factors of prime number 23 are: 1 and 23.
(i) 36
36 = 1 x 36
36 = 2 x 18
36 = 3 x 12
36 = 4 x 9
36 = 6 x 6
Therefore, all the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18 and 36.
Answer:
The answer is 19=1,19
28=1,2,4,7,14,28
36=1,2,3,4,6,9,12,18,36
43=1,43
90=1,2,3,5,6,9,,10,15,18,30,45,90