Is 3042 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 3042 is composite or not first we have to find its factors.
Contents
Factors of 3042:
- If we have taken numbers from 1, 2, 3…for checking factors of 3042, we found that 3042 has factors 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042. Hence, we must say that 3042 is a composite number.
- Thus, 3042 is the composite number.
- If we multiply 3042 by 1, 2, 3 then we get the multiples of 3042 which are 3042, 6084 and so on.
About the number 3042:
- 3042 has more than two factors which are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042 and hence it is the composite number.
- 3042 is the even composite number and it is not the perfect square also.
- If we divide 3042 by, 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042 are the factors of 3042.
Note:
- 3042 is not the perfect square.
- Factors of 3042: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042
- Prime factors of 3042: 2, 3, 13
Conclusion:
- 3042 is the composite number which has factors, 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042
- And hence, 3042 is not the prime number.
Multiple Choice Questions:
1) 3042 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 3042 are
a) 3042
b) 2, 3, 13
c) 6, 9, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042
d) 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042
Ans: c) 6, 9, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042
3) 3042 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521 and 3042
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c