Is 3708 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 3708 is composite or not first we have to find its factors.
Contents
Factors of 3708:
- If we have taken numbers from 1, 2, 3…for checking factors of 3708, we found that 3708 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854 and 3708. Hence, we must say that 3708 is a composite number.
- Thus, 3708 is the composite number.
- If we multiply 3708 by 1, 2, 3 then we get the multiples of 3708 which are 3708, 7416 and so on.
About the number 3708:
- 3708 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854 and 3708 and hence it is the composite number.
- 3708 is the even composite number and it is not the perfect square also.
- If we divide 3708 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854 and 3708 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854 and 3708 are the factors of 3708.
Note:
- 3708 is not the perfect square.
- Factors of 3708: 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854 and 3708
- Prime factors of 3708: 2, 3, 103
Conclusion:
- 3708 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854 and 3708
- And hence, 3708 is not the prime number.
Multiple Choice Questions:
1) 3708 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 3708 are
a) 3708
b) 2, 3, 103
c) 4, 6, 9, 12, 18, 36, 206, 309, 412, 618, 927, 1236, 1854 and 3708
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854 and 3708
Ans: b) 2, 3, 103
3) 3708 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854 and 3708
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all