Is 2586 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 2586 is composite or not first we have to find its factors.
Contents
Factors of 2586:
- If we have taken numbers from 1, 2, 3…for checking factors of 2586, we found that 2586 has factors 1, 2, 3, 6, 431, 862, 1293 and 2586. Hence, we must say that 2586 is a composite number.
- Thus, 2586 is the composite number.
- If we multiply 2586 by 1, 2, 3 then we get the multiples of 2586 which are 2586, 5172 and so on.
About the number 2586:
- 2586 has more than two factors which are 1, 2, 3, 6, 431, 862, 1293 and 2586 and hence it is the composite number.
- 2586 is the even composite number and it is not the perfect square also.
- If we divide 2586 by, 1, 2, 3, 6, 431, 862, 1293 and 2586 then we get remainder as zero. Hence, 1, 2, 3, 6, 431, 862, 1293 and 2586 are the factors of 2586.
Note:
- 2586 is not the perfect square.
- Factors of 2586: 1, 2, 3, 6, 431, 862, 1293 and 2586
- Prime factors of 2586: 2, 3, 431
Conclusion:
- 2586 is the composite number which has factors, 1, 2, 3, 6, 431, 862, 1293 and 2586
- And hence, 2586 is not the prime number.
Multiple Choice Questions:
1) 2586 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2586 are
a) 2586
b) 2, 3, 431
c) 6, 862, 1293 and 2586
d) 1, 2, 3, 6, 431, 862, 1293 and 2586
Ans: c) 6, 862, 1293 and 2586
3) 2586 is even composite number because
a) It has factors 1, 2, 3, 6, 431, 862, 1293 and 2586
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c