Is 2440 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 2440 is composite or not first we have to find its factors.
Contents
Factors of 2440:
- If we have taken numbers from 1, 2, 3…for checking factors of 2440, we found that 2440 has factors 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220 and 2440. Hence, we must say that 2440 is a composite number.
- Thus, 2440 is the composite number.
- If we multiply 2440 by 1, 2, 3 then we get the multiples of 2440 which are 2440, 4880 and so on.
About the number 2440:
- 2440 has more than two factors which are 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220 and 2440 and hence it is the composite number.
- 2440 is the even composite number and it is not the perfect square also.
- If we divide 2440 by, 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220 and 2440 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220 and 2440 are the factors of 2440.
Note:
- 2440 is not the perfect square.
- Factors of 2440: 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220 and 2440
- Prime factors of 2440: 2, 5, 61
Conclusion:
- 2440 is the composite number which has factors 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220 and 2440
- And hence, 2440 is not the prime number.
Multiple Choice Questions:
1) 2440 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 2440 are
a) 2440
b) 2, 5, 61
c) 1, 4, 8, 10, 20, 40, 122, 244, 305, 488, 610, 1220 and 2440
d) 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220 and 2440
Ans: b) 2, 5, 61
3) 2440 is composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220 and 2440
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b