Is 3542 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 3542 is composite or not first we have to find its factors.
Contents
Factors of 3542:
- If we have taken numbers from 1, 2, 3…for checking factors of 3542, we found that 3542 has factors 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542. Hence, we must say that 3542 is a composite number.
- Thus, 3542 is the composite number.
- If we multiply 3542 by 1, 2, 3 then we get the multiples of 3542 which are 3542, 7084 and so on.
About the number 3542:
- 3542 has more than two factors which are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542 and hence it is the composite number.
- 3542 is the even composite number and it is not the perfect square also.
- If we divide 3542 by, 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542 then we get remainder as zero. Hence, 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542 are the factors of 3542.
Note:
- 3542 is not the perfect square.
- Factors of 3542: 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542
- Prime factors of 3542: 2, 7, 11, 23
Conclusion:
- 3542 is the composite number which has factors, 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542
- And hence, 3542 is not the prime number.
Multiple Choice Questions:
1) 3542 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 3542 are
a) 3542
b) 2, 7, 11, 23
c) 14, 22, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542
d) 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542
Ans: b) 2, 7, 11, 23
3) 3542 is even composite number because
a) It has factors 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771 and 3542
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all