Is 1586 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 1586 is composite or not first we have to find its factors.
Contents
Factors of 1586:
- If we have taken numbers from 1, 2, 3…for checking factors of 1586, we found that 1586 has factors 1, 2, 13, 26, 61, 122, 793 and 1586. Hence, we must say that 1586 is a composite number.
- Thus, 1586 is the composite number.
- If we multiply 1586 by 1, 2, 3 then we get the multiples of 1586 which are 1586, 3172 and so on.
About the number 1586:
- 1586 has more than two factors which are 1, 2, 13, 26, 61, 122, 793 and 1586 and hence it is the composite number.
- 1586 is the even composite number and it is not the perfect square also.
- If we divide 1586 by 1, 2, 13, 26, 61, 122, 793 and 1586 then we get remainder as zero. Hence, 1, 2, 13, 26, 61, 122, 793 and 1586 are the factors of 1586.
Note:
- 1586 is not the perfect square.
- Factors of 1586: 1, 2, 13, 26, 61, 122, 793 and 1586
- Prime factors of 1586: 2, 13, 61
Conclusion:
- 1586 is the composite number which has factors 1, 2, 13, 26, 61, 122, 793 and 1586
- And hence, 1586 is not the prime number.
Multiple Choice Questions:
1) 1586 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 1586 are
a) 1586
b) 2, 13, 61
c) 1, 26, 122, 793 and 1586
d) 1, 2, 13, 26, 61, 122, 793 and 1586
Ans: b) 2, 13, 61
3) 1586 is even composite number because
a) It has factors 1, 2, 13, 26, 61, 122, 793 and 1586
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all