Is 3604 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 3604 is composite or not first we have to find its factors.
Contents
Factors of 3604:
- If we have taken numbers from 1, 2, 3…for checking factors of 3604, we found that 3604 has factors 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802 and 3604. Hence, we must say that 3604 is a composite number.
- Thus, 3604 is the composite number.
- If we multiply 3604 by 1, 2, 3 then we get the multiples of 3604 which are 3604, 7208 and so on.
About the number 3604:
- 3604 has more than two factors which are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802 and 3604 and hence it is the composite number.
- 3604 is the even composite number and it is not the perfect square also.
- If we divide 3604 by, 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802 and 3604 then we get remainder as zero. Hence, 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802 and 3604 are the factors of 3604.
Note:
- 3604 is not the perfect square.
- Factors of 3604: 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802 and 3604
- Prime factors of 3604: 2, 17, 53
Conclusion:
- 3604 is the composite number which has factors, 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802 and 3604
- And hence, 3604 is not the prime number.
Multiple Choice Questions:
1) 3604 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 3604 are
a) 3604
b) 2, 17, 53
c) 4, 34, 68, 106, 212, 901, 1802 and 3604
d) 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802 and 3604
Ans: b) 2, 17, 53
3) 3604 is even composite number because
a) It has factors 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802 and 3604
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all