Is 1932 is a composite number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 1932 is composite or not first we have to find its factors.
Factors of 1932:
- If we have taken numbers from 1, 2, 3…for checking factors of 1932, we found that 1932 has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932. Hence, we must say that 1932 is a composite number.
- Thus, 1932 is the composite number.
- If we multiply 1932 by 1, 2, 3 then we get the multiples of 1932 which are 1932, 3864 and so on.
About the number 1932:
- 1932 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932 and hence it is the composite number.
- 1932 is the even composite number and it is not the perfect square also.
- If we divide 1932 by, 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932 are the factors of 1932.
Note:
- 1932 is not the perfect square.
- Factors of 1932: 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932
- Prime factors of 1932: 2, 3, 7, 23
Conclusion:
- 1932 is the composite number which has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932
- And hence, 1932 is not the prime number.
Multiple Choice Questions:
1) 1932 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1932 are
a) 1932
b) 2, 3, 7, 23
c) 1, 4, 6, 12, 14, 21, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932
d) 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932
Ans: c) 1, 4, 6, 12, 14, 21, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932
3) 1932 is composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966 and 1932