Is 3036 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 3036 is composite or not first we have to find its factors.
Contents
Factors of 3036:
- If we have taken numbers from 1, 2, 3…for checking factors of 3036, we found that 3036 has factors 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036. Hence, we must say that 3036 is a composite number.
- Thus, 3036 is the composite number.
- If we multiply 3036 by 1, 2, 3 then we get the multiples of 3036 which are 3036, 6072 and so on.
About the number 3036:
- 3036 has more than two factors which are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036 and hence it is the composite number.
- 3036 is the even composite number and it is not the perfect square also.
- If we divide 3036 by, 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036 are the factors of 3036.
Note:
- 3036 is not the perfect square.
- Factors of 3036: 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036
- Prime factors of 3036: 2, 3, 11, 23
Conclusion:
- 3036 is the composite number which has factors, 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036
- And hence, 3036 is not the prime number.
Multiple Choice Questions:
1) 3036 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 3036 are
a) 3036
b) 2, 3, 11, 23
c) 4, 6, 12, 22, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036
d) 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036
Ans: c) 4, 6, 12, 22, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036
3) 3036 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518 and 3036
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c