Is 3502 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 3502 is composite or not first we have to find its factors.
Contents
Factors of 3502:
- If we have taken numbers from 1, 2, 3…for checking factors of 3502, we found that 3502 has factors 1, 2, 17, 34, 103, 206, 1751 and 3502. Hence, we must say that 3502 is a composite number.
- Thus, 3502 is the composite number.
- If we multiply 3502 by 1, 2, 3 then we get the multiples of 3502 which are 3502, 7004 and so on.
About the number 3502:
- 3502 has more than two factors which are 1, 2, 17, 34, 103, 206, 1751 and 3502 and hence it is the composite number.
- 3502 is the even composite number and it is not the perfect square also.
- If we divide 3502 by, 1, 2, 17, 34, 103, 206, 1751 and 3502 then we get remainder as zero. Hence, 1, 2, 17, 34, 103, 206, 1751 and 3502 are the factors of 3502.
Note:
- 3502 is not the perfect square.
- Factors of 3502: 1, 2, 17, 34, 103, 206, 1751 and 3502
- Prime factors of 3502: 2, 17, 103
Conclusion:
- 3502 is the composite number which has factors, 1, 2, 17, 34, 103, 206, 1751 and 3502
- And hence, 3502 is not the prime number.
Multiple Choice Questions:
1) 3502 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 3502 are
a) 3502
b) 2, 17, 103
c) 34, 206, 1751 and 3502
d) 1, 2, 17, 34, 103, 206, 1751 and 3502
Ans: b) 2, 17, 103
3) 3502 is even composite number because
a) It has factors 1, 2, 17, 34, 103, 206, 1751 and 3502
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all