Is 2596 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 2596 is composite or not first we have to find its factors.
Contents
Factors of 2596:
- If we have taken numbers from 1, 2, 3…for checking factors of 2596, we found that 2596 has factors 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298 and 2596. Hence, we must say that 2596 is a composite number.
- Thus, 2596 is the composite number.
- If we multiply 2596 by 1, 2, 3 then we get the multiples of 2596 which are 2596, 5192 and so on.
About the number 2596:
- 2596 has more than two factors which are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298 and 2596 and hence it is the composite number.
- 2596 is the even composite number and it is not the perfect square also.
- If we divide 2596 by, 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298 and 2596 then we get remainder as zero. Hence, 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298 and 2596 are the factors of 2596.
Note:
- 2596 is not the perfect square.
- Factors of 2596: 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298 and 2596
- Prime factors of 2596: 2, 11, 59
Conclusion:
- 2596 is the composite number which has factors, 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298 and 2596
- And hence, 2596 is not the prime number.
Multiple Choice Questions:
1) 2596 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 2596 are
a) 2596
b) 2, 11, 59
c) 4, 22, 44, 118, 236, 649, 1298 and 2596
d) 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298 and 2596
Ans: c) 4, 22, 44, 118, 236, 649, 1298 and 2596
3) 2596 is even composite number because
a) It has factors 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298 and 2596
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c