Is 1038 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 1038 is composite or not first we have to find its factors.
Contents
Factors of 1038:
- If we have taken numbers from 1, 2, 3…for checking factors of 1038, we found that 1038 has factors 1, 2, 3, 6, 173, 346, 519 and 1038. Hence, we must say that 1038 is a composite number.
- Thus, 1038 is the composite number.
- If we multiply 1038 by 1, 2, 3 then we get the multiples of 1038 which are 1038, 2076 and so on.
About the number 1038:
- 1038 has more than two factors which are 1, 2, 3, 6, 173, 346, 519 and 1038 and hence it is the composite number.
- 1038 is the even composite number and it is not the perfect square also.
- If we divide 1038 by 1, 2, 3, 6, 173, 346, 519 and 1038 then we get remainder as zero. Hence, 1, 2, 3, 6, 173, 346, 519 and 1038 are the factors of 1038.
Note:
- 1038 is not the perfect square.
- Factors of 1038: 1, 2, 3, 6, 173, 346, 519 and 1038
- Prime factors of 1038: 2, 3, 173
Conclusion:
- 1038 is the composite number which has factors 1, 2, 3, 6, 173, 346, 519 and 1038
- And hence, 1038 is not the prime number.
Multiple Choice Questions:
1) 1038 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The non-prime factors of a composite number 1038 are
a) 1
b) 2, 3, 173
c) 1, 6, 346, 519 and 1038
d) 1, 2, 3, 6, 173, 346, 519 and 1038
Ans: c) 1, 6, 346, 519 and 1038
3) 1038 is even the composite number because
a) It has factors 1, 2, 3, 6, 173, 346, 519 and 1038
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all