Is 3654 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 3654 is composite or not first we have to find its factors.
Contents
Factors of 3654:
- If we have taken numbers from 1, 2, 3…for checking factors of 3654, we found that 3654 has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654. Hence, we must say that 3654 is a composite number.
- Thus, 3654 is the composite number.
- If we multiply 3654 by 1, 2, 3 then we get the multiples of 3654 which are 3654, 7308 and so on.
About the number 3654:
- 3654 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654 and hence it is the composite number.
- 3654 is the even composite number and it is not the perfect square also.
- If we divide 3654 by, 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654 are the factors of 3654.
Note:
- 3654 is not the perfect square.
- Factors of 3654: 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654
- Prime factors of 3654: 2, 3, 7, 29
Conclusion:
- 3654 is the composite number which has factors, 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654
- And hence, 3654 is not the prime number.
Multiple Choice Questions:
1) 3654 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 3654 are
a) 3654
b) 2, 3, 7, 29
c) 6, 9, 14, 18, 21, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654
d) 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654
Ans: b) 2, 3, 7, 29
3) 3654 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all