Is 3003 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 3003 is composite or not first we have to find its factors.
Contents
Factors of 3003:
- If we have taken numbers from 1, 2, 3…for checking factors of 3003, we found that 3003 has factors 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003. Hence, we must say that 3003 is a composite number.
- Thus, 3003 is the composite number.
- If we multiply 3003 by 1, 2, 3 then we get the multiples of 3003 which are 3003, 6006 and so on.
3003 is a Composite number or Prime number
About the number 3003:
- 3003 has more than two factors which are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003 and hence it is the composite number.
- 3003 is the odd composite number and it is not the perfect square also.
- If we divide 3003 by 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003 then we get remainder as zero. Hence 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003 are the factors of 3003
Note:
- 3003 is not the perfect square.
- Factors of 3003: 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003
- Prime factors of 3003: 3, 7, 11, 13
Conclusion:
- 3003 is the composite number which has factors 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003.
- And hence, 3003 is not the prime number.
Multiple Choice Questions:
1) 3003 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 3003 are
a) 1
b) 3, 7, 11, 13
c) 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003
d) 1, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003
Ans: d) 1, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003
3) 3003 is the odd composite number because
a) It has factors 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001 and 3003
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all