Is 1404 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 1404 is composite or not first we have to find its factors.
Factors of 1404:
- If we have taken numbers from 1, 2, 3…for checking factors of 1404, we found that 1404 has factors 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404. Hence, we must say that 1404 is a composite number.
- Thus, 1404 is the composite number.
- If we multiply 1404 by 1, 2, 3 then we get the multiples of 1404 which are 1404, 2808 and so on.
About the number 1404:
- 1404 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404 and hence it is the composite number.
- 1404 is the even composite number and it is not the perfect square also.
- If we divide 1404 by 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 are the factors of 1404.
Note:
- 1404 is not the perfect square.
- Factors of 1404: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404
- Prime factors of 1404: 2, 3, 13
Conclusion:
- 1404 is the composite number which has factors 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404
- And hence, 1404 is not the prime number.
Multiple Choice Questions:
1) 1404 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1404 are
a) 4, 6, 9, 12,18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404
b) 2, 3, 13
c) 4, 6, 9, 12, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404
d) 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404
Ans: a) 4, 6, 9, 12, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404
3) 1404 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 284, 351, 468, 702 and 1404
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b