Is 2790 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 2790 is composite or not first we have to find its factors.
Contents
Factors of 2790:
- If we have taken numbers from 1, 2, 3…for checking factors of 2790, we found that 2790 has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790. Hence, we must say that 2790 is a composite number.
- Thus, 2790 is the composite number.
- If we multiply 2790 by 1, 2, 3 then we get the multiples of 2790 which are 2790, 5580 and so on.
About the number 2790:
- 2790 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790 and hence it is the composite number.
- 2790 is the even composite number and it is not the perfect square also.
- If we divide 2790 by, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790 are the factors of 2790.
Note:
- 2790 is not the perfect square.
- Factors of 2790: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790
- Prime factors of 2790: 2, 3, 5, 31
Conclusion:
- 2790 is the composite number which has factors, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790
- And hence, 2790 is not the prime number.
Multiple Choice Questions:
1) 2790 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 2790 are
a) 2790
b) 2, 3, 5, 31
c) 6, 9, 10, 15, 18, 30, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790
d) 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790
Ans: c) 6, 9, 10, 15, 18, 30, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790
3) 2790 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c