Is 2782 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 2782 is composite or not first we have to find its factors.
Contents
Factors of 2782:
- If we have taken numbers from 1, 2, 3…for checking factors of 2782, we found that 2782 has factors 1, 2, 13, 26, 107, 214, 1391 and 2782. Hence, we must say that 2782 is a composite number.
- Thus, 2782 is the composite number.
- If we multiply 2782 by 1, 2, 3 then we get the multiples of 2782 which are 2782, 5564 and so on.
About the number 2782:
- 2782 has more than two factors which are 1, 2, 13, 26, 107, 214, 1391 and 2782 and hence it is the composite number.
- 2782 is the even composite number and it is not the perfect square also.
- If we divide 2782 by, 1, 2, 13, 26, 107, 214, 1391 and 2782 then we get remainder as zero. Hence, 1, 2, 13, 26, 107, 214, 1391 and 2782 are the factors of 2782.
Note:
- 2782 is not the perfect square.
- Factors of 2782: 1, 2, 13, 26, 107, 214, 1391 and 2782
- Prime factors of 2782: 2, 13, 107
Conclusion:
- 2782 is the composite number which has factors, 1, 2, 13, 26, 107, 214, 1391 and 2782
- And hence, 2782 is not the prime number.
Multiple Choice Questions:
1) 2782 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 2782 are
a) 2782
b) 2, 13, 107
c) 26, 214, 1391 and 2782
d) 1, 2, 13, 26, 107, 214, 1391 and 2782
Ans: c) 26, 214, 1391 and 2782
3) 2782 is even composite number because
a) It has factors 1, 2, 13, 26, 107, 214, 1391 and 2782
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c