Is 2578 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 2578 is composite or not first we have to find its factors.
Contents
Factors of 2578:
- If we have taken numbers from 1, 2, 3…for checking factors of 2578, we found that 2578 has factors 1, 2, 1289 and 2578. Hence, we must say that 2578 is a composite number.
- Thus, 2578 is the composite number.
- If we multiply 2578 by 1, 2, 3 then we get the multiples of 2578 which are 2578, 5156 and so on.
About the number 2578:
- 2578 has more than two factors which are 1, 2, 1289 and 2578 and hence it is the composite number.
- 2578 is the even composite number and it is not the perfect square also.
- If we divide 2578 by, 1, 2, 1289 and 2578 then we get remainder as zero. Hence, 1, 2, 1289 and 2578 are the factors of 2578.
Note:
- 2578 is not the perfect square.
- Factors of 2578: 1, 2, 1289 and 2578
- Prime factors of 2578: 2, 1289
Conclusion:
- 2578 is the composite number which has factors, 1, 2, 1289 and 2578
- And hence, 2578 is not the prime number.
Multiple Choice Questions:
1) 2578 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 2578 are
a) 2578
b) 2, 1289
c) 1 and 2578
d) 1, 2, 1289 and 2578
Ans: b) 2, 1289
3) 2578 is composite number because
a) It has factors 1, 2, 1289 and 2578
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b