Is 3294 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 3294 is composite or not first we have to find its factors.
Contents
Factors of 3294:
- If we have taken numbers from 1, 2, 3…for checking factors of 3294, we found that 3294 has factors 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294. Hence, we must say that 3294 is a composite number.
- Thus, 3294 is the composite number.
- If we multiply 3294 by 1, 2, 3 then we get the multiples of 3294 which are 3294, 6588 and so on.
About the number 3294:
- 3294 has more than two factors which are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294 and hence it is the composite number.
- 3294 is the even composite number and it is not the perfect square also.
- If we divide 3294 by, 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294 are the factors of 3294.
Note:
- 3294 is not the perfect square.
- Factors of 3294: 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294
- Prime factors of 3294: 2, 3, 61
Conclusion:
- 3294 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294
- And hence, 3294 is not the prime number.
Multiple Choice Questions:
1) 3294 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3294 are
a) 3294
b) 2, 3, 61
c) 6, 9, 18, 27, 54, 122, 183, 366, 549, 1098, 1647 and 3294
d) 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294
Ans: b) 2, 3, 61
3) 3294 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647 and 3294