Is 3582 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 3582 is composite or not first we have to find its factors.
Contents
Factors of 3582:
- If we have taken numbers from 1, 2, 3…for checking factors of 3582, we found that 3582 has factors 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791 and 3582. Hence, we must say that 3582 is a composite number.
- Thus, 3582 is the composite number.
- If we multiply 3582 by 1, 2, 3 then we get the multiples of 3582 which are 3582, 7164 and so on.
About the number 3582:
- 3582 has more than two factors which are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791 and 3582 and hence it is the composite number.
- 3582 is the even composite number and it is not the perfect square also.
- If we divide 3582 by, 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791 and 3582 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791 and 3582 are the factors of 3582.
Note:
- 3582 is not the perfect square.
- Factors of 3582: 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791 and 3582
- Prime factors of 3582: 2, 3, 199
Conclusion:
- 3582 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791 and 3582
- And hence, 3582 is not the prime number.
Multiple Choice Questions:
1) 3582 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 3582 are
a) 3582
b) 2, 3, 199
c) 6, 9, 18, 398, 597, 1194, 1791 and 3582
d) 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791 and 3582
Ans: b) 2, 3, 199
3) 3582 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791 and 3582
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all