Is 3546 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 3546 is composite or not first we have to find its factors.
Contents
Factors of 3546:
- If we have taken numbers from 1, 2, 3…for checking factors of 3546, we found that 3546 has factors 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773 and 3546. Hence, we must say that 3546 is a composite number.
- Thus, 3546 is the composite number.
- If we multiply 3546 by 1, 2, 3 then we get the multiples of 3546 which are 3546, 7092 and so on.
About the number 3546:
- 3546 has more than two factors which are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773 and 3546 and hence it is the composite number.
- 3546 is the even composite number and it is not the perfect square also.
- If we divide 3546 by, 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773 and 3546 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773 and 3546 are the factors of 3546.
Note:
- 3546 is not the perfect square.
- Factors of 3546: 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773 and 3546
- Prime factors of 3546: 2, 3, 197
Conclusion:
- 3546 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773 and 3546
- And hence, 3546 is not the prime number.
Multiple Choice Questions:
1) 3546 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 3546 are
a) 3546
b) 2, 3, 197
c) 6, 9, 18, 394, 591, 1182, 1773 and 3546
d) 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773 and 3546
Ans: b) 2, 3, 197
3) 3546 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773 and 3546
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all