Is 3468 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 3468 is composite or not first we have to find its factors.
Contents
Factors of 3468:
- If we have taken numbers from 1, 2, 3…for checking factors of 3468, we found that 3468 has factors 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468. Hence, we must say that 3468 is a composite number.
- Thus, 3468 is the composite number.
- If we multiply 3468 by 1, 2, 3 then we get the multiples of 3468 which are 3468, 6936 and so on.
About the number 3468:
- 3468 has more than two factors which are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468 and hence it is the composite number.
- 3468 is the even composite number and it is not the perfect square also.
- If we divide 3468 by, 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468 are the factors of 3468.
Note:
- 3468 is not the perfect square.
- Factors of 3468: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468
- Prime factors of 3468: 2, 3, 17
Conclusion:
- 3468 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468
- And hence, 3468 is not the prime number.
Multiple Choice Questions:
1) 3468 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3468 are
a) 3468
b) 2, 3, 17
c) 4, 6, 12, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468
d) 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468
Ans: b) 2, 3, 17
3) 3468 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734 and 3468
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all