Is 2556 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 2556 is composite or not first we have to find its factors.
Contents
Factors of 2556:
- If we have taken numbers from 1, 2, 3…for checking factors of 2556, we found that 2556 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278 and 2556. Hence, we must say that 2556 is a composite number.
- Thus, 2556 is the composite number.
- If we multiply 2556 by 1, 2, 3 then we get the multiples of 2556 which are 2556, 5112 and so on.
About the number 2556:
- 2556 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278 and 2556 and hence it is the composite number.
- 2556 is the even composite number and it is not the perfect square also.
- If we divide 2556 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278 and 2556 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278 and 2556 are the factors of 2556.
Note:
- 2556 is not the perfect square.
- Factors of 2556: 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278 and 2556
- Prime factors of 2556: 2, 3, 71
Conclusion:
- 2556 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278 and 2556
- And hence, 2556 is not the prime number.
Multiple Choice Questions:
1) 2556 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2556 are
a) 2556
b) 2, 3, 71
c) 1, 4, 6, 9, 12, 18, 36, 142, 213, 284, 426, 639, 852, 1278 and 2556
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278 and 2556
Ans: b) 2, 3, 71
3) 2556 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278 and 2556
b) It has more than two factors
c) Divisible by 2
D) Both a and b
Ans: d) both a and b