Is 2772 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 2772 is composite or not first we have to find its factors.
Factors of 2772:
- If we have taken numbers from 1, 2, 3…for checking factors of 2772, we found that 2772 has factors 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772. Hence, we must say that 2772 is a composite number.
- Thus, 2772 is the composite number.
- If we multiply 2772 by 1, 2, 3 then we get the multiples of 2772 which are 2772, 5544 and so on.
About the number 2772:
- 2772 has more than two factors which are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772 and hence it is the composite number.
- 2772 is the even composite number and it is not the perfect square also.
- If we divide 2772 by, 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772 are the factors of 2772.
Note:
- 2772 is not the perfect square.
- Factors of 2772: 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772
- Prime factors of 2772: 2, 3, 7, 11
Conclusion:
- 2772 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772
- And hence, 2772 is not the prime number.
Multiple Choice Questions:
1) 2772 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 2772 are
a) 2772
b) 2, 3, 7, 11
c) 4, 6, 9, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772
d) 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772
Ans: c) 4, 6, 9, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772
3) 2772 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386 and 2772
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c