Is 3652 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 3652 is composite or not first we have to find its factors.
Contents
Factors of 3652:
- If we have taken numbers from 1, 2, 3…for checking factors of 3652, we found that 3652 has factors 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826 and 3652. Hence, we must say that 3652 is a composite number.
- Thus, 3652 is the composite number.
- If we multiply 3652 by 1, 2, 3 then we get the multiples of 3652 which are 3652, 7304 and so on.
About the number 3652:
- 3652 has more than two factors which are 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826 and 3652 and hence it is the composite number.
- 3652 is the even composite number and it is not the perfect square also.
- If we divide 3652 by, 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826 and 3652 then we get remainder as zero. Hence, 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826 and 3652 are the factors of 3652.
Note:
- 3652 is not the perfect square.
- Factors of 3652: 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826 and 3652
- Prime factors of 3652: 2, 11, 83
Conclusion:
- 3652 is the composite number which has factors, 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826 and 3652
- And hence, 3652 is not the prime number.
Multiple Choice Questions:
1) 3652 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 3652 are
a) 3652
b) 2, 11, 83
c) 4, 22, 44, 166, 332, 913, 1826 and 3652
d) 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826 and 3652
Ans: b) 2, 11, 83
3) 3652 is even composite number because
a) It has factors 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826 and 3652
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all