Is 2760 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 2760 is composite or not first we have to find its factors.
Factors of 2760:
- If we have taken numbers from 1, 2, 3…for checking factors of 2760, we found that 2760 has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760. Hence, we must say that 2760 is a composite number.
- Thus, 2760 is the composite number.
- If we multiply 2760 by 1, 2, 3 then we get the multiples of 2760 which are 2760, 5520 and so on.
About the number 2760:
- 2760 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760 and hence it is the composite number.
- 2760 is the even composite number and it is not the perfect square also.
- If we divide 2760 by, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760 are the factors of 2760.
Note:
- 2760 is not the perfect square.
- Factors of 2760: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760
- Prime factors of 2760: 2, 3, 5, 23
Conclusion:
- 2760 is the composite number which has factors,1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760
- And hence, 2760 is not the prime number.
Multiple Choice Questions:
1) 2760 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 2760 are
a) 2760
b) 2, 3, 5, 23
c) 4, 6, 8, 10, 12, 15, 20, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760
d) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760
Ans: c) 4, 6, 8, 10, 12, 15, 20, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760
3) 2760 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380 and 2760
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c