Is 3484 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 3484 is composite or not first we have to find its factors.
Contents
Factors of 3484:
- If we have taken numbers from 1, 2, 3…for checking factors of 3484, we found that 3484 has factors 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742 and 3484. Hence, we must say that 3484 is a composite number.
- Thus, 3484 is the composite number.
- If we multiply 3484 by 1, 2, 3 then we get the multiples of 3484 which are 3484, 6968 and so on.
About the number 3484:
- 3484 has more than two factors which are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742 and 3484 and hence it is the composite number.
- 3484 is the even composite number and it is not the perfect square also.
- If we divide 3484 by, 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742 and 3484 then we get remainder as zero. Hence, 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742 and 3484 are the factors of 3484.
Note:
- 3484 is not the perfect square.
- Factors of 3484: 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742 and 3484
- Prime factors of 3484: 2, 13, 67
Conclusion:
- 3484 is the composite number which has factors, 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742 and 3484
- And hence, 3484 is not the prime number.
Multiple Choice Questions:
1) 3484 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 3484 are
a) 3484
b) 2, 13, 67
c) 4, 26, 52, 134, 268, 871, 1742 and 3484
d) 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742 and 3484
Ans: b) 2, 13, 67
3) 3484 is even composite number because
a) It has factors 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742 and 3484
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all