Is 3692 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 3692 is composite or not first we have to find its factors.
Contents
Factors of 3692:
- If we have taken numbers from 1, 2, 3…for checking factors of 3692, we found that 3692 has factors 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846 and 3692. Hence, we must say that 3692 is a composite number.
- Thus, 3692 is the composite number.
- If we multiply 3692 by 1, 2, 3 then we get the multiples of 3692 which are 3692, 7384 and so on.
About the number 3692:
- 3692 has more than two factors which are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846 and 3692 and hence it is the composite number.
- 3692 is the even composite number and it is not the perfect square also.
- If we divide 3692 by, 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846 and 3692 then we get remainder as zero. Hence, 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846 and 3692 are the factors of 3692.
Note:
- 3692 is not the perfect square.
- Factors of 3692: 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846 and 3692
- Prime factors of 3692: 2, 13, 71
Conclusion:
- 3692 is the composite number which has factors, 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846 and 3692
- And hence, 3692 is not the prime number.
Multiple Choice Questions:
1) 3692 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3692 are
a) 3692
b) 2, 13, 71
c) 4, 26, 52, 142, 284, 923, 1846 and 3692
d) 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846 and 3692
Ans: b) 2, 13, 71
3) 3692 is even composite number because
a) It has factors 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846 and 3692
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all