Is 2802 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 2802 is composite or not first we have to find its factors.
Factors of 2802:
- If we have taken numbers from 1, 2, 3…for checking factors of 2802, we found that 2802 has factors 1, 2, 3, 6, 467, 934, 1401 and 2802. Hence, we must say that 2802 is a composite number.
- Thus, 2802 is the composite number.
- If we multiply 2802 by 1, 2, 3 then we get the multiples of 2802 which are 2802, 5604 and so on.
About the number 2802:
- 2802 has more than two factors which are 1, 2, 3, 6, 467, 934, 1401 and 2802 and hence it is the composite number.
- 2802 is the even composite number and it is not the perfect square also.
- If we divide 2802 by, 1, 2, 3, 6, 467, 934, 1401 and 2802 then we get remainder as zero. Hence, 1, 2, 3, 6, 467, 934, 1401 and 2802 are the factors of 2802.
Note:
- 2802 is not the perfect square.
- Factors of 2802: 1, 2, 3, 6, 467, 934, 1401 and 2802
- Prime factors of 2802: 2, 3, 467
Conclusion:
- 2802 is the composite number which has factors, 1, 2, 3, 6, 467, 934, 1401 and 2802
- And hence, 2802 is not the prime number.
Multiple Choice Questions:
1) 2802 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 2802 are
a) 2802
b) 2, 3, 467
c) 6, 934, 1401 and 2802
d) 1, 2, 3, 6, 467, 934, 1401 and 2802
Ans: c) 6, 934, 1401 and 2802
3) 2802 is even composite number because
a) It has factors 1, 2, 3, 6, 467, 934, 1401 and 2802
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c
