Answer:
Between
1
and
50
, we have following numbers as composite.
{
4
,
6
,
8
,
9
,
10
,
12
,
14
,
15
,
16
,
18
,
20
,
21
,
22
,
24
,
25
,
26
,
27
,
28
,
30
,
32
,
33
,
34
,
35
,
36
,
38
,
39
,
40
,
42
,
44
,
45
,
46
,
48
,
49
}
Total
33
composite numbers.
Step-by-step explanation:
Composite numbers are those which have
3
or more factors:
Prime numbers are those which have exactly
2
factors:
There are more composite numbers than prime numbers, (can you explain why this is so?)
So it will be easier to count the prime numbers and subtract them.
There are
50
numbers FROM
1
to
50
Therefore there are
48
numbers BETWEEN
1
and
50
. which are excluded.
There are
15
prime numbers less than
50
, which are:
2
,
.
3
,
.
5
,
.
7
,
.
11
,
.
13
,
.
17
,
.
19
,
.
23
,
.
29
,
.
31
,
.
37
,
.
41
,
.
43
,
.
47
Therefore there are
48
−
15
=
33
composite numbers between
1
and
50
.