Is 2780 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 2780 is composite or not first we have to find its factors.
Contents
Factors of 2780:
- If we have taken numbers from 1, 2, 3…for checking factors of 2780, we found that 2780 has factors 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390 and 2780. Hence, we must say that 2780 is a composite number.
- Thus, 2780 is the composite number.
- If we multiply 2780 by 1, 2, 3 then we get the multiples of 2780 which are 2780, 5560 and so on.
About the number 2780:
- 2780 has more than two factors which are 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390 and 2780 and hence it is the composite number.
- 2780 is the even composite number and it is not the perfect square also.
- If we divide 2780 by, 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390 and 2780 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390 and 2780 are the factors of 2780.
Note:
- 2780 is not the perfect square.
- Factors of 2780: 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390 and 2780
- Prime factors of 2780: 2, 5, 139
Conclusion:
- 2780 is the composite number which has factors, 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390 and 2780
- And hence, 2780 is not the prime number.
Multiple Choice Questions:
1) 2780 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 2780 are
a) 2780
b) 2, 5, 139
c) 4, 10, 20, 278, 556, 695, 1390 and 2780
d) 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390 and 2780
Ans: c) 4, 10, 20, 278, 556, 695, 1390 and 2780
3) 2780 is even composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390 and 2780
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c