Is 3102 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 3102 is composite or not first we have to find its factors.
Contents
Factors of 3102:
- If we have taken numbers from 1, 2, 3…for checking factors of 3102, we found that 3102 has factors 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551 and 3102. Hence, we must say that 3102 is a composite number.
- Thus, 3102 is the composite number.
- If we multiply 3102 by 1, 2, 3 then we get the multiples of 3102 which are 3102, 6204 and so on.
About the number 3102:
- 3102 has more than two factors which are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551 and 3102 and hence it is the composite number.
- 3102 is the even composite number and it is not the perfect square also.
- If we divide 3102 by, 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551 and 3102 then we get remainder as zero. Hence, 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551 and 3102 are the factors of 3102.
Note:
- 3102 is not the perfect square.
- Factors of 3102: 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551 and 3102
- Prime factors of 3102: 2, 3, 11, 47
Conclusion:
- 3102 is the composite number which has factors, 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551 and 3102
- And hence, 3102 is not the prime number.
Multiple Choice Questions:
1) 3102 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 3102 are
a) 3102
b) 2, 3, 11, 47
c) 6, 22, 33, 66, 94, 141, 282, 517, 1034, 1551 and 3102
d) 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551 and 3102
Ans: c) 6, 22, 33, 66, 94, 141, 282, 517, 1034, 1551 and 3102
3) 3102 is even composite number because
a) It has factors 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551 and 3102
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c