Is 4004 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 4004 is composite or not first we have to find its factors.
Contents
Factors of 4004:
- If we have taken numbers from 1, 2, 3…for checking factors of 4004, we found that 4004 has factors 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004. Hence, we must say that 4004 is a composite number.
- Thus, 4004 is the composite number.
- If we multiply 4004 by 1, 2, 3 then we get the multiples of 4004 which are 4004, 8008 and so on.
About the number 4004:
- 4004 has more than two factors which are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004 and hence it is the composite number.
- 4004 is the even composite number and it is not the perfect square also.
- If we divide 4004 by, 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004 then we get remainder as zero. Hence, 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004 are the factors of 4004.
Note:
- 4004 is not the perfect square.
- Factors of 4004: 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004
- Prime factors of 4004: 2, 7, 11, 13
Conclusion:
- 4004 is the composite number which has factors, 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004
- And hence, 4004 is not the prime number.
Multiple Choice Questions:
1) 4004 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4004 are
a) 4004
b) 2, 7, 11, 13
c) 4, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004
d) 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004
Ans: c) 4, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004
3) 4004 is composite number because
a) It has factors 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002 and 4004
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b