Is 2584 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 2584 is composite or not first we have to find its factors.
Contents
Factors of 2584:
- If we have taken numbers from 1, 2, 3…for checking factors of 2584, we found that 2584 has factors 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584. Hence, we must say that 2584 is a composite number.
- Thus, 2584 is the composite number.
- If we multiply 2584 by 1, 2, 3 then we get the multiples of 2584 which are 2584, 5168 and so on.
About the number 2584:
- 2584 has more than two factors which are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584 and hence it is the composite number.
- 2584 is the even composite number and it is not the perfect square also.
- If we divide 2584 by, 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584 then we get remainder as zero. Hence, 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584 are the factors of 2584.
Note:
- 2584 is not the perfect square.
- Factors of 2584: 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584
- Prime factors of 2584: 2, 17, 19
Conclusion:
- 2584 is the composite number which has factors, 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584
- And hence, 2584 is not the prime number.
Multiple Choice Questions:
1) 2584 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 2584 are
a) 2584
b) 2, 17, 19
c) 4, 8, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584
d) 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584
Ans: c) 4, 8, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584
3) 2584 is even composite number because
a) It has factors 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292 and 2584
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c