Is 2784 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 2784 is composite or not first we have to find its factors.
Contents
Factors of 2784:
- If we have taken numbers from 1, 2, 3…for checking factors of 2784, we found that 2784 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784. Hence, we must say that 2784 is a composite number.
- Thus, 2784 is the composite number.
- If we multiply 2784 by 1, 2, 3 then we get the multiples of 2784 which are 2784, 5568 and so on.
About the number 2784:
- 2784 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784 and hence it is the composite number.
- 2784 is the even composite number and it is not the perfect square also.
- If we divide 2784 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784 are the factors of 2784.
Note:
- 2784 is not the perfect square.
- Factors of 2784: 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784
- Prime factors of 2784: 2, 3, 29
Conclusion:
- 2784 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784
- And hence, 2784 is not the prime number.
Multiple Choice Questions:
1) 2784 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 2784 are
a) 2784
b) 2, 3, 29
c) 4, 6, 8, 12, 16, 24, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784
Ans: c) 4, 6, 8, 12, 16, 24, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784
3) 2784 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392 and 2784
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c