Is 1582 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 1582 is composite or not first we have to find its factors.
Contents
Factors of 1582:
- If we have taken numbers from 1, 2, 3…for checking factors of 1582, we found that 1582 has factors 1, 2, 7, 14, 113, 226, 791 and 1582. Hence, we must say that 1582 is a composite number.
- Thus, 1582 is the composite number.
- If we multiply 1582 by 1, 2, 3 then we get the multiples of 1582 which are 1582, 3164 and so on.
About the number 1582:
- 1582 has more than two factors which are 1, 2, 7, 14, 113, 226, 791 and 1582 and hence it is the composite number.
- 1582 is the even composite number and it is not the perfect square also.
- If we divide 1582 by 1, 2, 7, 14, 113, 226, 791 and 1582 then we get remainder as zero. Hence, 1, 2, 7, 14, 113, 226, 791 and 1582 are the factors of 1582.
Note:
- 1582 is not the perfect square.
- Factors of 1582: 1, 2, 7, 14, 113, 226, 791 and 1582
- Prime factors of 1582: 2, 7, 113
Conclusion:
- 1582 is the composite number which has factors1, 2, 7, 14, 113, 226, 791 and 1582
- And hence, 1582 is not the prime number.
Multiple Choice Questions:
1) 1582 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 1582 are
a) 1582
b) 2, 7, 113
c) 1, 14, 226, 791 and 1582
d) 1, 2, 7, 14, 113, 226, 791 and 1582
Ans: b) 2, 7, 113
3) 1582 is even composite number because
a) It has factors 1, 2, 7, 14, 113, 226, 791 and 1582
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all