Sol.
Express each number as a product of its prime factors:
Q.1
140
(i) 140
140
70
35
2
2
5
7
7
1
∴ 140 = 22 × 5 × 7
Sol.
156
(ii) 156
156
78
39
2
2
3
13
13
1
∴ 156 = 22 × 3 × 13
Sol.
3825
(iii) 3825
3825
1275
425
3
3
5
85
5
17
∴ 3825 = 32 × 52 × 17
17
1
Exercise 1.2
Sol.
5005
(iv) 5005
5005
1001
143
5
7
11
13
13
1
∴ 5005 = 5 × 7 × 11 × 13
Sol.
7429
(v) 7429
7429
437
23
17
19
23
1
∴ 7429 = 17 × 19 × 23
Express each number as a product of its prime factors:
Q.1
Exercise 1.2
(i) 1000
1000
500
250
2
2
2
125
5
25
Q.
Express each number as a product of its prime factors:
Sol.
5
1
5
5
∴
1000
=
2
×
2
×
2
×
5
×
5
×
5
=
23
×
53
(ii) 72
Q.
Express each number as a product of its prime factors:
Sol.
72
36
18
2
2
2
9
3
3
1
3
∴
72
=
2
×
2
×
2
×
3
×
3
=
23
×
32