Is 3004 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 3004 is composite or not first we have to find its factors.
Contents
Factors of 3004:
- If we have taken numbers from 1, 2, 3…for checking factors of 3004, we found that 3004 has factors 1, 2, 4, 751, 1502 and 3004. Hence, we must say that 3004 is a composite number.
- Thus, 3004 is the composite number.
- If we multiply 3004 by 1, 2, 3 then we get the multiples of 3004 which are 3004, 6008 and so on.
About the number 3004:
- 3004 has more than two factors which are 1, 2, 4, 751, 1502 and 3004 and hence it is the composite number.
- 3004 is the even composite number and it is not the perfect square also.
- If we divide 3004 by, 1, 2, 4, 751, 1502 and 3004 then we get remainder as zero. Hence, 1, 2, 4, 751, 1502 and 3004 are the factors of 3004.
Note:
- 3004 is not the perfect square.
- Factors of 3004: 1, 2, 4, 751, 1502 and 3004
- Prime factors of 3004: 2, 751
Conclusion:
- 3004 is the composite number which has factors, 1, 2, 4, 751, 1502 and 3004
- And hence, 3004 is not the prime number.
Multiple Choice Questions:
1) 3004 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3004 are
a) 3004
b) 2, 751
c) 4, 1502 and 3004
d) 1, 2, 4, 751, 1502 and 3004
Ans: c) 4, 1502 and 3004
3) 3004 is even composite number because
a) It has factors 1, 2, 4, 751, 1502 and 3004
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c